Algebra Lesson 10: Transformations of Quadratics

What is the vertex?

• (0, - 1)
• (0, 0.5)
• (-1, 0)
• (0.5, 0)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Does the quadratic have a max/min vertex, and does the graph open up/down?

• max/ opens down
• min/ opens up
• max/ opens up
• min/ opens down

Tags

CCSS.HSF-IF.C.7A

What is the vertex of the following equation:
y=-3(x-2)² - 4?

• (-2,-4)
• (2,-4)
• (3,-4)
• (2,4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the range of this function?

• -4 ≤ y ≤ 5
• -1 ≤ x ≤ 3
• All Real Numbers
• y ≥ -4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

• Horz shift right 2

• Horz shift left 2

• Vert shift up 4

• Vert shift down 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

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.HSG.CO.A.2

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.HSG.CO.A.2

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

• right 9

• Vertical compress by 1/2

• Horizontal Compress by 1/2

• left 9

• down 1

Tags

CCSS.HSF.BF.B.3

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