Parent Functions and Transformations

Name the parent function.

• linear
• quadratic
• cubic
• logarithmic

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units
• horizontal shift right 7 units
• vertical shift up 7 units
• vertical shift down 7 units

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

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

What is the parent function for a Quadratic equation?

• 
• 
• 
• y=x

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

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

What is the graph of quadratic function?

• a. circle

• b. square

• c. parabola

• d. ellipse

A horizontal shifts move a function...

• up or down

• left or right

Describe the transformations from the original parent function f(x) = x².
g(x) = 5x² + 2

• Vertical Stretch of 5
  Down 2
• Vertical Shrink of 5
  Up 2
• Vertical Stretch of 5
  Up 2
• Vertical Shrink of 5
  Down 2