A2CP Unit 4: Quadratic Translations Worksheet

Name the parent function.

• quadratic
• cubic
• square root
• logarithmic

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Tags

CCSS.HSF-IF.C.7A

Does this graph in the back have maximum or minimum value?

• maximum
• minimum
• neither
• both

Tags

CCSS.HSF-IF.C.7A

What equation represents the quadratic function?

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

Tags

CCSS.HSF-IF.C.7A

What equation represents the quadratic function?

• y = (x - 3)² + 3
• y = (x + 3)² + 3
• y = (x + 3)² - 3
• y = (x - 3)² - 3 

Tags

CCSS.HSF-IF.C.7A

Which equation below is a quadratic function translated up 5 units?

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

Given the parent function

 $f\left(x\right)\ =x^{2\ }$ , write the equation of the function with the given transformation. 

Left 7 and Up 4

•  $f\left(x\right)=\left(x-7\right)^{2\ }+\ 4$  

•  $f\left(x\right)\ =\ \left(x+7\right)^{2\ }+4$  

•  $f\left(x\right)=\left(x+7\right)^{2\ }-4$  

•  $f\left(x\right)\ =\ \left(x-7\right)^{2\ }-4$  

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

What equation represents the quadratic function?

• y = (x - 7)² - 2
• y = (x + 7)² + 2
• y = (x + 7)² - 2
• y = (x + 2)² + 7

Tags

CCSS.HSF-IF.C.7A

What equation represents the quadratic function?

• y = (x - 4)² + 1
• y = (x + 1)² - 4
• y = (x - 4)² - 1
• y = (x - 1)² - 4 

Tags

CCSS.HSF-IF.C.7A