Quadratic Graphing Transformations Sandbox

Describe the transformation(s) that is occurring to  $f\left(x\right)=x^2$  . Select all that apply.

 $f\left(x\right)=x^2+2$  

• Shift down 2
  

• Shift up 2
  

• Shift right 2
  

• Vertical Stretch by 2
  

 Describe the transformation(s) that is occurring to the function. Select all that apply.$y=5x^2-4$ 

• Vertical stretch by 5 and down 4
  

• Vertical shrink by 5 and down 4

• Vertical stretch by 4 and down 5
  

• Vertical shrink by 4 and down 5

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

Tags

CCSS.HSF.BF.B.3

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

• Compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

• Stretched by 1/2, shifted 4 units right and 1 unit down

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Match the description to its equation.
- moves down 3

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.3

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

How did we transform from the parent function?
y = -1/2(x - 1)² + 3

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

How did we transform from y=x^2?
y = -3x²

• reflection and vertical shift down
• reflection and vertical stretch
• horizontal stretch
• reflection and vertical compression