Quadratic Transformations

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

• Vertical Shrink BAFO 2, shifted 2 units left and 5 down

• Vertical Stretch BAFO 5, shifted 5 units left and 2 down

• Vertical Stretch BAFO 2, shifted 2 units left and 5 down

• Vertical Shrink BAFO 5, shifted 2 units left and 2 down

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

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

• vertical shift up 8 units

• vertical shift down 8 units

• horizontal shift left 8 units

• horizontal shift right 8 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

• vertical shift down 4 units

• horizontal shift left 4 units

• horizontal shift right 4 units

• vertical shift up 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Which transformation maps the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical reflection

• a horizontal reflection

• a horizontal translation shifting 4 units to the left

• a horizontal translation shifting 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Match the description to its equation.

Vertical Reflection

Vertical shrink by a factor of 1/2

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Match the equation to its description. 

Parent function :

 $y=x^{2\ }$  

• Vertical Reflection & vertical shift up 4

• Vertical Reflection & vertical shift down 4

• Vertical reflection & horizontal shift right 4

• Vertical reflection & horizontal shift left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

If the blue is f(x)=x^2, then the red must be

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

How did we transform from y=x^2?

y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical shrink

Tags

CCSS.HSF.BF.B.3

Find the equation of the parabola that has...

a vertical shrink BAFO 1/3

• $y=3x^2$
  

• $y=\frac{1}{3}x^2$

• $y=\left(x+3\right)^2$

• $y=x^2+3$

Tags

CCSS.HSF.BF.B.3

Which equation would shift the following quadratic up 3 units?

 $f\left(x\right)=\left(x-4\right)^2$  

•  $f\left(x\right)=\left(x-4\right)^2+3$  
  

•  $f\left(x\right)=\left(x-4\right)^2-3$  

•  $f\left(x\right)=\left(x-1\right)^2$  

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

Tags

CCSS.HSF.BF.B.3