Transformations of Quadratics

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

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

How did we transform from y=x² to
y = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

In the equation f(x)=1/2(x+9)²-1, what happens to the parabola?

• Reflect, horizontal compress by 1/2, left 9, down 1
• Vertical compress by 1/2, left 9, down 1
• Horizontal Compress by 1/2, right 9, down 1
• Vertical Stretch by 1/2, left 9, down 1

Tags

CCSS.HSF.BF.B.3

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5
• Horizontal compress by 5
• Reflect
• Move up 5

Tags

CCSS.HSF.BF.B.3

Does the graph of this equation widen or narrow from the parent function?
y=  5(x - 5)² + 3

• widen
• narrow
• neither

Tags

CCSS.HSF.BF.B.3

If the blue graph is
f(x) = x² 
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

If red represents y = x², which equation represents blue?

• y = 2x²
• y = -2x²
• y = -x²
• y = (x - 1)²

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

Simplify:

5(3x+2)

• 3x+10

• 15x+10

• 15x-10

• 3x-10

Tags

CCSS.6.EE.A.3

(4x+1)(5x−2)

• 20x² + 3x − 2
• 20x² − 11x + 5
• 20x² − 18x + 2
• 20x² − 3x − 2

Tags

CCSS.HSA.APR.A.1