Function Translations and Reflections

What equation represents the quadratic function?

• y = -(x - 5)² 

• y = -x² + 5

• y = x² - 5

• y = (x - 5)² 

What equation represents the quadratic function?

• y = -(x - 6)² - 3

• y = -(x - 6)² + 3

• y = -(x + 6)² - 3

• y = -(x + 6)² + 3 

A transformation of a figure that flips the figure across a line.

• Reflection

• Translation

• Rotation

• Dilation

Match the equation to its description.

• Stretched by 2 and up 4

• Compressed by 2 and up 4

• Stretched by 2 and left 4

• Compressed by 2 and left 4

What is a reflection?

• a selfie

• A flipped image

• a shift up, down, left, or right

• a compression or stretch

Describe the transformation from the parent function to h(x).

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

Which parent function matches the graph?

• f(x) = x

• f(x) = x²

• f(x) =2^x

• f(x) =|x|

How would you describe the transformation from the parent function to g(x)?

• vertical stretch by a factor of 2

• horizontal stretch by a factor of 2

• vertical translation 4 units down

• horizontal translation 5 units left

A reflection

• Has a central point that stays fixed and everything else moves around that point

• a transformation that changes the size of a figure

• a transformation in which the preimage is flipped across a line

• a function that moves an object a certain distance. The object is not altered in any other way.