Quadratic Functions Unit Test

What is the range of the function?

• y≤3

• y≥3

• All real numbers

• -6≤y≤3

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the vertex and the domain of the function

y = -2(x+1)² + 4

• Max: -1,4; Domain: All Real Numbers

• Min: -1,-4; Domain: All Real Numbers

• Max: 2,2; Domain: All real numbers when x is greater than 4

• Min: -2,2; Domain: All real numbers when x is less than 4

What is the Vertex Form for the quadratic function that has a vertex of (3,4)?

• y = a(x+3)² + 4

• y = a(x-3)² + 4

• y = -a(x+3) - 4

• y = a(x-3)² - 4

What is the range of f(x) = 2(x+3)² + 1?

• y ≥ 3

• y ≥ 1

• y ≤ 3

• y ≤ 1

Tags

CCSS.8.F.B.5

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

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

Tags

CCSS.HSF.BF.B.3

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

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

If you square 5 more than a positive number, the result is 88 more than 12 times the number. Find the number.

• 7

• √75

• 9

• 15

The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. Find the length and width of the playground

•  length = 26 yd, width = 21 yd
• length = 21 yd, width = 26 yd 
• length = 21 yd, width = 16 yd 
• length = 16 yd, width = 21 yd

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1