4 Slides • 7 Questions

M4 L21: Transforming Quadratics

By Lora Lyons

2

3

Draw

Example 1: Write the completed-square (VERTEX FORM) of the quadratic function:

$g\left(x\right)=2x^2+12x+1$

4

5

Multiple Choice

Example 1a:

Where is the vertex of the graph of this function located?

(refer to your equation from example 1)

1

(3, -17)

2

(-3, -17)

6

Draw

The quadratic parent function has been translated:

3 units to the right

vertically stretched by a factor of 4

moved 2 units up

Write the equation for the transformed graph.

7

8

Multiple Choice

Write a formula that describes the transformation from the quadratic parent function:

Shift three units to the right

1

$y=\left|x+3\right|$

2

$y=\left(x+3\right)^2$

3

$y=\left|x\right|+3$

4

$y=\left(x-3\right)^2$

9

Multiple Choice

Write a formula that describes the transformation from the quadratic parent function:

Vertical Shrink by a factor of 0.5 (1/2)

1

$y=x^2-\frac{1}{2}$

2

$y=\frac{1}{2}x^2$

10

Multiple Choice

Write a formula that describes the transformation from the quadratic parent function:

Reflection across the x axis

1

$y=-x^2$

2

$y=\left(x+1\right)^2$

11

Multiple Choice

Write a formula that describes the transformation from the quadratic parent function:

4 units up

1

$y=\left(x+4\right)^2$

2

$y=x^2+4$

M4 L21: Transforming Quadratics

By Lora Lyons

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