Reflecting and Translating Functions

If the linear function y = 2x - 5 is first translated 4 units to the right and then reflected over the x-axis, what is the resulting equation?

• y = 2(x+4) - 5

• y = -2(x+4) - 5

• y = -2(x-4) - 5

• y = -2(x-4) + 5

What is the result of reflecting the linear function y = 2x + 3 over the x-axis?

• y = 2x + 3

• y = -2x - 3

• y = 2x - 3

• y = -2x + 3

If the linear function y = 3x - 4 is translated 5 units to the right, what is the new equation?

• y = 3(x-5) - 4

• y = 3(x-5) + 4

• y = 3(x-4) - 5

• y = 3(x+5) - 4

When the linear function y = 4x - 1 is reflected over the y-axis, what is the new equation?

• y = -4x - 1

• y = 1 - 4x

• y = -4x + 1

• y = 4x + 1

• reflection over y axis, horizontal shift to the right 2 and vertical stretch by a factor of 3
• reflection over x axis, horizontal shift to the right 2 and vertical stretch by a factor of 3
• reflection over x axis, horizontal shift to the left 2 and vertical stretch by a factor of 3
• reflection over x axis, horizontal shift to the left 2 and vertical compression by a factor of 3

Which equation shows a function that is reflected and translated from the parent function?

• y = (-x + 12)²

• y = -5|x|

• y = x²

• y = ⅓(x - 5)²

Describe the transformation from dotted to solid.

• -f(x)

• f(x - 4)

• f(x) - 4

• f(-x)

The red graph shows the graph of y=f(x)

Identify the blue graph...

• y = f(-x)

• y = -f(x)

• y = f(x + 1)

• y = f(x) + 1

reflection over y-axis, shift right 1

• f(-x - 1)

• -f(x + 1)

• -f(x) - 1

• -f(x - 1)

List the translations or reflections of this function.
f(x)= |x-5| -2

• Flip, Down 2, Right 5

• Flip, Down 2, Left 5

• Down 2, right 5

• Down 2, left 5