Question

Which of the following transformations affect the y-values of a function? (Check all that apply)

Horizontal dilations
Vertical dilations
Shifts left or right
Shifts up or down
Reflection across the x-axis
Reflection across the y-axis

Answer 1

Vertical Dilations

Shifts up or down

Reflection across the x axis

Explanation:

Vertical dilations dilate a function up or down.

Shifts up or down obviously also move a function up and down.

A reflection across the x axis means that all the y values of the points on the function are multiplied by negative one, meaning that negative values become positive and positive ones become negative. Hope this helps!

Answer 2

vertical dilations

Shifts up or down

Reflection across the x-axis

Explanation:

Horizontal dilations - will change the x dimensions not the y dimensions

Vertical dilations will change the y dimensions

Shifts left or right , the domain will change,so the x values will change left or right not the y

Shifts up or down - the given y values will change

Reflection across the x-axis is a mirror image across the x axis, the y values change for a given x value, but the x values will remain the same

Reflection across the y-axis is a mirror image across the y axis, the x values change for a given y value, but the y values will remain the same