4.4 Graph y = a(x -h)^2 + k

📖 Chapter 4 Quadratic Relations
📄 Page 185
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45
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185
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10

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1

001. Q1a

Question
Answer
📚 Related Lectures
10 Math, Parabola, Transformation, Horizontal, given y=(x-p)^2, sketch
🎓 004. Bandit Story
🎓 003. Why does it move in opposite direction
🎓 002 Shift right parabola example
🎓 001. Introduction to Horizontal Shift
⏱️ 0:551🎬 dnA4QjHNKBA
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2

001. Q1b

Question
Answer
📚 Related Lectures
10 Math, Parabola, Transformation, No Stretches, given y=(x-p)^2+q, sketch
🎓 002. Horizontal Vertical Shift Example
🎓 001. Introduction to Horizontal and Vertical Shift
⏱️ 0:281🎬 ZDaLk1bukOw
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3

001. Q1c

Question
Answer
📚 Related Lectures
10 Math, Parabola, Transformation, No Stretches, given y=(x-p)^2+q, sketch
🎓 002. Horizontal Vertical Shift Example
🎓 001. Introduction to Horizontal and Vertical Shift
⏱️ 0:341🎬 rK3un39kE1c
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4

001. Q1d

Question
Answer
📚 Related Lectures
10.4.1 MATH, Parabola, Horizontal Compression or Stretch y=f(kx), sketch
🎓 003. Horizontal Compression with Story
🎓 002. Horizontal Compression
🎓 001. Reflecting on y-axis
⏱️ 0:311🎬 6Zri1i21x_U
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5

001. Q1e

Question
Answer
📚 Related Lectures
10 Math, Parabola, Transformation, No Stretches, given y=(x-p)^2+q, sketch
🎓 002. Horizontal Vertical Shift Example
🎓 001. Introduction to Horizontal and Vertical Shift
⏱️ 0:261🎬 sWGnLs6ezog
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6

001. Q1f

Question
Answer
📚 Related Lectures
10.4.1 MATH, Parabola, Horizontal Compression or Stretch y=f(kx), sketch
🎓 003. Horizontal Compression with Story
🎓 002. Horizontal Compression
🎓 001. Reflecting on y-axis
⏱️ 0:341🎬 RMIE9Y0kxs0
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7

001. Q1g

Question
Answer
📚 Related Lectures
10.4.1 MATH, Parabola, Horizontal Compression or Stretch y=f(kx), sketch
🎓 003. Horizontal Compression with Story
🎓 002. Horizontal Compression
🎓 001. Reflecting on y-axis
⏱️ 0:281🎬 1wi-gOuT2Dg
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8

001. Q1h

Question
Answer
📚 Related Lectures
10.4.1 MATH, Parabola, Horizontal Compression or Stretch y=f(kx), sketch
🎓 003. Horizontal Compression with Story
🎓 002. Horizontal Compression
🎓 001. Reflecting on y-axis
⏱️ 0:291🎬 i01LZolYPEQ
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9

002. Q2

Question
Answer
📚 Related Lectures
10 Math, Parabola, Combination Transformation, given y=a(x-p)^2+q, sketch
🎓 002. Combined Transformation of parabola ex2
🎓 001. Sketching Parabola with combined transformation in vertex form ex1
⏱️ 4:551🎬 3jXwEC2lQeI
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10

003. Q3

Question
Answer
📚 Related Lectures
10.4.1 MATH, PARABOLA, given Transformation Description words, find Vertex Form Equation
🎓 004. Vertical Stretch and Horizontal Shift
🎓 005. Vertical shift from non parent function
🎓 003. Reflection, Vertical Compressions and Horizontal Shift
🎓 002. Reflection on x axis and vertical shift
🎓 001. Introduction to Describing Transformation
⏱️ 0:211🎬 4xXInQ3fPDI
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11

004. Q4

Question
Answer
📚 Related Lectures
10.4.1 MATH, PARABOLA, given Transformation Description words, find Vertex Form Equation
🎓 004. Vertical Stretch and Horizontal Shift
🎓 005. Vertical shift from non parent function
🎓 003. Reflection, Vertical Compressions and Horizontal Shift
🎓 002. Reflection on x axis and vertical shift
🎓 001. Introduction to Describing Transformation
⏱️ 0:211🎬 LNAv4mwTB3I
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12

005. Q5

Question
Answer
📚 Related Lectures
10.3.5 MATH, given Vertex and One Other Point, find the equation of Parabola
🎓 001. Vertex and One other point
⏱️ 0:181🎬 7GOjWZoOw9E
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13

006. Q6a

Question
Answer
📚 Related Lectures
10.3.5 MATH, given Vertex and One Other Point.with.Graph, find the equation
🎓 003. Graph to Vertex form of parabola on y axis
🎓 002. Graph to Parabola equation
🎓 001. Given Graph with Vertex on x axis, find equation of Parabola
⏱️ 0:431🎬 ELgtJXNRCww
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14

006. Q6b

Question
Answer
📚 Related Lectures
10.3.5 MATH, given Vertex and One Other Point.with.Graph, find the equation
🎓 003. Graph to Vertex form of parabola on y axis
🎓 002. Graph to Parabola equation
🎓 001. Given Graph with Vertex on x axis, find equation of Parabola
⏱️ 0:251🎬 3gHzcJ0ZlvA
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15

007. Q7a

Question
Answer
📚 Related Lectures
10.3.5 MATH, given Vertex and One Other Point.with.Graph, find the equation
🎓 003. Graph to Vertex form of parabola on y axis
🎓 002. Graph to Parabola equation
🎓 001. Given Graph with Vertex on x axis, find equation of Parabola
⏱️ 0:271🎬 zpVKgUYEOKw
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16

007. Q7b

Question
Answer
📚 Related Lectures
10.3.5 MATH, given Vertex and One Other Point.with.Graph, find the equation
🎓 003. Graph to Vertex form of parabola on y axis
🎓 002. Graph to Parabola equation
🎓 001. Given Graph with Vertex on x axis, find equation of Parabola
⏱️ 0:241🎬 oY6lLzpuM1c
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17

007. Q7c

Question
Answer
📚 Related Lectures
10.4.1 MATH, PARABOLA, given Transformation Description words, find Vertex Form Equation
🎓 004. Vertical Stretch and Horizontal Shift
🎓 005. Vertical shift from non parent function
🎓 003. Reflection, Vertical Compressions and Horizontal Shift
🎓 002. Reflection on x axis and vertical shift
🎓 001. Introduction to Describing Transformation
⏱️ 0:321🎬 1wErJGA859M
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18

008. Q8

Question
Answer
📚 Related Lectures
10.4.1 MATH, PARABOLA, given Transformation Description words, find Vertex Form Equation
🎓 004. Vertical Stretch and Horizontal Shift
🎓 005. Vertical shift from non parent function
🎓 003. Reflection, Vertical Compressions and Horizontal Shift
🎓 002. Reflection on x axis and vertical shift
🎓 001. Introduction to Describing Transformation
⏱️ 0:501🎬 X0YV6chi7P4
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19

009. Q9

Question
Answer
📚 Related Lectures
10.4.1 MATH, PARABOLA, given Transformation Description words, find Vertex Form Equation
🎓 004. Vertical Stretch and Horizontal Shift
🎓 005. Vertical shift from non parent function
🎓 003. Reflection, Vertical Compressions and Horizontal Shift
🎓 002. Reflection on x axis and vertical shift
🎓 001. Introduction to Describing Transformation
⏱️ 0:421🎬 bdJd0pk6UuM
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20

010. Q10

Question
Answer
📚 Related Lectures
10.4.1 MATH, PARABOLA, given Transformation Description words, find Vertex Form Equation
🎓 004. Vertical Stretch and Horizontal Shift
🎓 005. Vertical shift from non parent function
🎓 003. Reflection, Vertical Compressions and Horizontal Shift
🎓 002. Reflection on x axis and vertical shift
🎓 001. Introduction to Describing Transformation
⏱️ 0:271🎬 7NhrubGqqGM
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21

011. Q11

Question
Answer
📚 Related Lectures
10 Math, Quadratic Modelling, given Description of Parabola (Bridge), solve
🎓 001. Bridge with a diagram setup
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22

012. Q12a

Question
Answer
📚 Related Lectures
10 Math, Quadratic Modelling, given Projectile Motion Equation with Horizontal Distance, solve
🎓 001. Height Vs Horizontal Distance
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23

012. Q12b

Question
Answer
📚 Related Lectures
10 Math, Quadratic Modelling, given Projectile Motion Equation with Horizontal Distance, solve
🎓 001. Height Vs Horizontal Distance
⏱️ 0:141🎬 TZmKmwzJ5iQ
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24

012. Q12c

Question
Answer
📚 Related Lectures
10 Math, Quadratic Modelling, given Projectile Motion Equation with Horizontal Distance, solve
🎓 001. Height Vs Horizontal Distance
⏱️ 0:161🎬 W1_iCC3iTmw
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25

012. Q12d

Question
Answer
📚 Related Lectures
10 Math, Quadratic Modelling, given Projectile Motion Equation with Horizontal Distance, solve
🎓 001. Height Vs Horizontal Distance
⏱️ 0:391🎬 xsNsN3-uqLY
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26

012. Q12e

Question
Answer
📚 Related Lectures
10 Math, Quadratic Modelling, given Projectile Motion Equation with Horizontal Distance, solve
🎓 001. Height Vs Horizontal Distance
⏱️ 0:331🎬 4PxezZfdlXc
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27

013. Q13

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Answer
⏱️ 1:081🎬 bvZ5s8L9gEU
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28

014. Q14

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Answer
⏱️ 0:591🎬 QKKIQ5DjyQc
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29

015. Q15

Question
Answer
📚 Related Lectures
10 Math, Quadratic Modelling, given Description of Parabola (Bridge), solve
🎓 001. Bridge with a diagram setup
⏱️ 0:571🎬 Q3Kows4BsiM
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30

017. Q17

Question
Answer
📚 Related Lectures
10 Math, Quadratic Modelling, given Description of Parabola (Bridge), solve
🎓 001. Bridge with a diagram setup
⏱️ 0:531🎬 gTkGc0yGriY
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31

018. Q18

Question
Answer
📚 Related Lectures
10 Math, Quadratic Modelling, Setting Up Projectile Motion
🎓 001. ph
⏱️ 0:151🎬 mRjfIT75yIg
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32

019. Q19a

Question
Answer
📚 Related Lectures
10.4.1 MATH, PARABOLA, given Transformation Description words, find Vertex Form Equation
🎓 004. Vertical Stretch and Horizontal Shift
🎓 005. Vertical shift from non parent function
🎓 003. Reflection, Vertical Compressions and Horizontal Shift
🎓 002. Reflection on x axis and vertical shift
🎓 001. Introduction to Describing Transformation
⏱️ 0:261🎬 7WPgk349q0U
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33

019. Q19b

Question
Answer
📚 Related Lectures
10.4.1 MATH, PARABOLA, given Transformation Description words, find Vertex Form Equation
🎓 004. Vertical Stretch and Horizontal Shift
🎓 005. Vertical shift from non parent function
🎓 003. Reflection, Vertical Compressions and Horizontal Shift
🎓 002. Reflection on x axis and vertical shift
🎓 001. Introduction to Describing Transformation
⏱️ 0:241🎬 FYtsAIdlS5I
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34

019. Q19c

Question
Answer
📚 Related Lectures
10.4.1 MATH, PARABOLA, given Transformation Description words, find Vertex Form Equation
🎓 004. Vertical Stretch and Horizontal Shift
🎓 005. Vertical shift from non parent function
🎓 003. Reflection, Vertical Compressions and Horizontal Shift
🎓 002. Reflection on x axis and vertical shift
🎓 001. Introduction to Describing Transformation
⏱️ 0:231🎬 HDPNm-1WhqE
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35

019. Q19d

Question
Answer
📚 Related Lectures
10.4.1 MATH, PARABOLA, given Transformation Description words, find Vertex Form Equation
🎓 004. Vertical Stretch and Horizontal Shift
🎓 005. Vertical shift from non parent function
🎓 003. Reflection, Vertical Compressions and Horizontal Shift
🎓 002. Reflection on x axis and vertical shift
🎓 001. Introduction to Describing Transformation
⏱️ 0:211🎬 7AaDbny3-6E
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36

020. Q20a

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Answer
📚 Related Lectures
10.2.3.2 MATH, given Centre of Circle(Non Origin) and Point on Circle, find Equation in Vertex Form
🎓 001. Circle Equation in non origin
⏱️ 1:341🎬 aCGvoxtTu4U
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37

020. Q20b

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38

021. Q21

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39

022. Q22

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Answer
📚 Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given.Graph, find.Domain,Range
🎓 001. From graph, find domain and range
⏱️ 0:351🎬 lHJ5GTL0lO8
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10mcgrawCh4.4lectureTube

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1

000. Section Intro

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2

001. Introduction to Parabola

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⏱️ 3:490🎬 NcL7hbcCh1g
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3

002. Summary of Sketching Parabola in Vertex Form

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⏱️ 4:480🎬 XTqCoZxwn3A
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4

003. Finding the Vertex Form equation from the Graph of the Parabola

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⏱️ 0:510🎬 AifpT-S86Uk
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5

004. Domain and Range of a Parabola

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Answer
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6

005. Modelling Projectile Motion in Vertex Form

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Answer
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