Function Families and Transformations Practice

Which family does this graph belong to?

• absolute value

• quadratic

• linear

• square root

• rational

What is the parent function of the function below?

• quadratic

• cubic

• absolute value

• square root

Which family does this graph belong to?

• absolute value

• quadratic

• linear

• square root

• rational

Tags

CCSS.HSF-IF.C.7B

Determine the equation for the red graph.

• g(x)=(x=3)²

• g(x)=x²-3

• g(x)=x²+3

• g(x)=3x²

• horizontal translation

• compression

• stretch

• down

• left

• right

• 1/2

• 2

• vertical translation

• up

• down

• up

• right

• left

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation. (a)  

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

• horizontal translation

• compression

• stretch

• down

• left

• right

• 1/2

• 2

• vertical translation

• up

• vertical

• horizontal

• shrink

• stretch

• up

• down

• left

• right

• 2

• 11