4.4 Transformations of Parabolas - Lesson Check

What is the parent function of a quadratic?

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

Which transformation transforms the graph of

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

• shift 4 units up

• shift 4 units down

• shift 4 units to the left

• shift 4 units to the right

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

How did we transform from y=x² to

y = -3x²

• reflection in x-axis and shifts down

• reflection x-axis and narrower

• wider

• reflection x-axis and wider

Tags

CCSS.HSF.BF.B.3

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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.C.7

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

Match the equation to its description.

• Vertical Stretched by 2 and translation up 4
•  Vertical Compressed by 2 and translation up 4
• Horizontal Stretched by 2 and translation left 4
• Horizontal Compressed by 2 and translation right 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

How did we transform from the parent function?

y = -1/5x² + 7 (Choose ALL that apply.)

• reflection over the x-axis

• vertical shift up 7

• vertical stretch of 1/5

• vertical shift down 7

• vertical compression of 1/5

Tags

CCSS.HSF.BF.B.3

Describe the transformation: y=-3(x-2)²-4.

*Mark all that apply.

• reflection across x-axis

• Vertical Stretch by factor of 3

• Vertical Compression by factor of 3

• down 4

• right 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Match the description to its equation.
-Moves left 2

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5