Parent Functions & Transformations

Parent Functions & Transformations

Multiple Choice

Name the parent function. 

• constant
• square root
• linear
• absolute value

Multiple Choice

What type of function is shown?

• absolute value
• quadratic
• linear
• exponential

Multiple Choice

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

Multiple Choice

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

Multiple Choice

What is the parent function for a cubic function?

• f(x)=x³
• f(x)=x
• f(x)=IxI
• f(x)=x²

Multiple Choice

What is the parent function for an absolute value function?

• f(x)=x³
• f(x)=x
• f(x)=IxI
• f(x)=x²

Multiple Choice

If  $f\left(x\right)=a\left(x-h\right)^2+k$  has a horiz. shift of -2, a vertical shift of +3 and a vertical stretch of 4, what are the values of a, h, and k?

•  $a=4;\ h=-2;\ k=3$  

•  $a=2;\ h=4;\ k=-3$  

•  $a=4;\ h=2;\ k=3$  

•  $a=3;\ h=2;\ k=-4$  

Multiple Select

Which transformations are involved in the equation  $y=\frac{1}{2}\sqrt{x+1}-1$  ?

• Horizontal translation left

• Vertical shrink

• Vertical translation down

• Horizontal translation right

• Vertical stretch

Multiple Choice

 $y=\sqrt{x-\frac{3}{2}}+2$  belongs to what family of functions?

• square root

• absolute value

• linear

• quadratic

Multiple Choice

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

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Multiple Choice

Given f(x) = (x+2)² - 5. What transformations took place from the original function f(x)?

• Left 2 and up 5

• Right 2 and down 5

• Left 2 and down 5

• Right 2 and up 5

Multiple Choice

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

Multiple Choice

Describe the transformation that is applied to the parent function. 
f(x) =  (1/2) Ix-1I -1

• Compresses by (1/2), Shifts left 1, down 1
• Compresses by (1/2), Shifts right 1, down 1
• Compresses by (1/2), Shifts left 1, up 1
• Compresses by (1/2), Shifts right 1, up 1

Multiple Choice

Describe the transformation that is applied to the parent function. 
f(x) =  3 Ix+8I

• Stretches by 3, Shifts left 8
• Stretches by 3, Shifts right 8
• Stretches by 3, Shifts up 8
• Stretches by 3, Shifts down 8

Multiple Choice

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