Standard Form Quadratic Function

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

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

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

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

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)

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

What is the axis of symmetry of the given function?

• y = 1

• y = -1

• x = 1

• x = -1

Identify the vertex and whether the graph opens up or down.

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down