Lesson 1.4 - Day 2 - Reflections of the Parent Functions

​Lesson 1.4 - Day 2 - Reflections in the Plane

Multiple Choice

What happened in each slide when the function was multiplied by a negative?

(This is also shown in the image to the left)

• Function flipped over the y-axis

  (Reflection over the y-axis)

• Function flipped over the x-axis

  (Reflection over the x-axis)

​Pull out your yellow study guide and take notes using the following slides

Multiple Select

Describe the transformation from the parent cubic function:

$$y=-x^3+3$$  

* Select TWO answers *

• Shift up 3 units

• Shift down 3 units

• Reflection over the y-axis

• Reflection over the x-axis

Multiple Choice

• y = Ix + 2I - 1

• y = -Ix + 2I - 1

• y = -Ix - 2I - 1

• y = -Ix + 1I - 2

Multiple Choice

Describe the transformation from the parent graph

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

Multiple Choice

Match the equation with the graph:

• y = (x - 2)² + 4

• y = -(x - 4)² + 2

• y = -(x - 2)² + 4

• y = -(x + 2)² + 4

Multiple Choice

Tell how the function transformed from y =|x|
y = -|x|

• Translated left 2 units

• Reflected over y-axis

• Reflected over x-axis

• Translated -1 units right

Multiple Select

Describe the transformation from the parent absolute value function:

$$y=-\left|x+4\right|-3$$  

* Select THREE answers *

• Reflection over the x-axis

• Translation 4 units left

• Translation 4 units up

• Translation 3 units left

• Translation 3 units down

Multiple Choice

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the x-axis

• Shifted right 2, shifted up 3, and reflected over the x-axis

Multiple Choice

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

• y = -|x + 2| - 7 

• y = |x - 2| - 7 

• y = -|x - 2| - 7

• y = -|x - 2| + 7

Multiple Choice

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected over the x-axis.

• $$y=-\left|x-15\right|-3$$

• $$y=-\left|x+15\right|-3$$

• $$y=\frac{1}{2}\left|x+3\right|-15$$

• $$y=\frac{1}{2}\left|x-3\right|-15$$

• $$y=\left|-x-15\right|-3$$

Multiple Choice

Choose the correct translated function.

• f(x)= -(x+1)²+4

• f(x)= (x-1)²-4

• f(x)= -(x+1)²-4

• f(x)= -(x+4)²-1