Final Transformations Review, Day 1

Choose the correct translated function.

• f(x)= |x|+2
• f(x)= |x|-2
• f(x)= -|x|
• f(x)= -|x|+2

Describe the transformation of y = f(x) for the new function

y = 1/5 f(x)

• The graph of y = f(x) compressed horizontally by a factor of 1/5

• The graph of y = f(x) was stretched horizontally by a factor of 5

• The graph of y = f(x) was compressed vertically by a factor of 1/5

• The graph of y = f(x) was stretched vertically by a factor of 5

Does the following shift up or shift down from the parent function y = |x|?
y = |x| - 8

• Shift up
• Shift down

Write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted up 6.

• y=6|x| - 2/5

• y=2/5|x| + 6

• y=2/5|x+6|

• y=2/5|x-6|

Describe the transformation that is applied to the parent function.

f(x) = IxI + 5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

What is the parent function of a quadratic?

• $y=x$

• $y=x^2$

• $y=\sqrt{x}$

• $y=\left|x\right|$

Which transformation transforms the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

• shift 4 units up

• shift 4 units down

• shift 4 units to the left

• shift 4 units to the right

How did we transform from y=x² to

y = -3x²

• reflection in x-axis and shifts down

• reflection x-axis and narrower

• wider

• reflection x-axis and wider

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5
• g(x) = x² + 5
• g(x) = (x - 5)²
• g(x) = (x + 5)²

What are the transformations?

y=(x-2)² + 4 (Choose ALL that apply.)

• shift right 2

• shift left 2

• shift up 4

• shift down 4