Transformations of Functions Quiz

Which of the following is the parent quadratic function?

• |x|

• $x^2$

• $x^2+1$

• $\sqrt{x}$

What function shows a shift up 3 from the parent function f(x) = |x|?

• |x|+3

• |x+3|

• |x| - 3

• |x-3|

Which equation shows f(x) = x² shifted down 4?

• x² + 4

• (x - 4)²

• x² - 4

• -4x²

Describe the transformation from the parent graph

 $-\sqrt{x}+5$  

• Shift down 1, left 5

• Reflection over the x-axis, left 5

• Shift up 5, right 1

• Reflection over the x-axis, up 5

Describe the transformation from the parent function?

 $\left(x-3\right)^2$  

• Shift left 3

• Shift right 3

• Shift down 3

Describe the transformation from the parent graph

|x+3|- 1

• Shift left 3, shift down 1

• Shift right 3, shift down 1

• Shift up 3, left 1

• Shift up 3, right 1

The blue graph is the parent function f(x) = |x|

Then the red graph must be

• g(x) = |x| + 2

• g(x) = |x| - 2

• g(x) = |x+2|

• g(x) = |x-2|

The equation for this graph is

• f(x) = Ix + 2I - 1

• f(x) = -Ix + 2I - 1

• f(x) = -Ix - 2I - 1

• f(x) = -Ix + 1I - 2

How would the graph of the function y = x² + 4 be affected if the function were changed to y = x² + 1?

• The graph would shift 3 units up

• The graph would shift 3 units down

• The graph would shift 5 units up

• The graph would shift 3 units left

Write the equation for the graph

• (x-2)² +1

• (x+1)² - 2

• (x+2)² - 1

• (x-1)² + 2