Standard Form of a Quadratic Function

Identify the vertex of the following parabola.

y = x² − 4x + 1

• (2,-3)

• (1/3, 4)

• (-2, 3)

• (-2,13)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.B.3

Identify the maximum or minimum value of the following quadratic function.

y = 3x² + 18x + 32

• Maximum value is y = 5

• Maximum value is y = 32

• Minimum value is y=5

• Minimum value is y = -3

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

Which function has the graph shown above?

• 
• y = -3x² – 4x + 8

• 
• y = .5x² – 3x + 3

Tags

CCSS.HSF-IF.C.7A

Identify the range of the given parabola.

y = −x² − 6x − 10

• y ≥ -1

• all real numbers

• y ≤ -1

• y > -1.5

Tags

CCSS.HSF-IF.C.7A

Identify the axis of symmetry of the given parabola.

y = x² − 4x + 1

• x = 3

• x = -3

• x = -2

• x = 2

Find an equation in standard form of the parabola passing through the points.

(1, −1), (2, −5), (3, −7)

• y = -3x² + 7x + 8

• y = x² - 7x + 5

• y = -x² + 7x - 5

• y = x²

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

What is the vertex of the following quadratic function?

y = (x-2)² + 4

• Vertex (2,4)

• Vertex (3, -8)

• Vertex (-2, 4)

• Vertex (-4, -10)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Without graphing state whether the following quadratic function opens upward or downward?

y = -3x² + 2x - 4

• Upward

• Downward

Tags

CCSS.HSF-IF.C.7A

A local nursery sells a large number of ornamental trees every year. The owners have determined the cost per tree C for buying and caring for each tree before it is sold is

C = 0.001n² − 0.3n + 50. In this function, C is the cost per tree in dollars and n is the number of trees in stock. How many trees will minimize the cost per tree? (hint: find the vertex)

• 180

• 150

• 100

• -150

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

Write the following parabola in vertex form.

y = 3x² + 18x + 32

y = a(x-h)² + k where (h,k) is the vertex.

• y = 3(x+3)² + 5

• y = 18(x - 3)² + 0

• y = (x+3)² + 5

• y = -3(x+18)² - 5

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3