Parameter Changes of Quadratics

Which of the following parabolas is shifted farthest UP?

• y= 2(x - 3)² + 7

• y= 2(x + 3)² - 7

• y= 5(x - 2)² + 3

• y= 5(x + 2)² - 3

Which of the following parabolas is shifted farthest to the LEFT?

• y= 2(x - 5)²

• y= 2(x + 5)²

• y= 3(x - 2)²

• y= 3(x + 2)²

Describe the opening and the vertical stretch or compression from

y = 5(x + 6)² + 2 to

y = 2(x - 4)² - 5

• Opens up, vertical compression (wider)

• Opens down, vertical compression (wider)

• Opens up, vertical stretch (narrower)

• Opens down, vertical stretch (narrower)

Describe the horizontal translation and the vertical translation from

y = 5(x + 6)² + 2 to

y = 2(x - 4)² - 5

• Horz trans right 10, Vert trans down 7

• Horz trans right 10, Vert trans up 7

• Horz trans right 10, Vert trans up 5

• Horz trans right 4, Vert trans up 7

Describe the opening and the vertical stretch or compression from

y = (x - 2)² + 3 to

y = -(x + 5)² - 6

• Opens down, no dilation

• Opens down, vertical compression

• Opens up, no dilation

• Opens up, vertical stretch

Describe the horizontal translation and the vertical translation from y = (x - 2)² + 3 to y = (x + 5)² - 6

• Horz trans left 7, Vert trans down 9

• Horz trans right 7, Vert trans up 9

• Horz trans left 7, Vert trans down 3

• Horz trans left 5, Vert trans up 9

Use the given function or the graph to find the average rate of change

• 3

• -3

• 3/2

• -1/3

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the average rate of change of f(x)=2x²+3x-1 from 1 to 2.

Hint: Use your table.

• 18

• -9

• 9

• 3

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• 22.8 m/s
  

• 8.7 m/s
  

• 6.3 m/s
  

• 5.7 m/s
  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

• 2

• 1/2

• -2

• -1/2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6