Find the Minimum or Maximum Value of a Parabola Given an Equation

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

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

Identify the range of the given parabola.

• y ≥ -1

• all real numbers

• y ≤ -1

• y > -1.5

Tags

CCSS.HSF-IF.C.7A

What is the vertex of the following quadratic function?

• Vertex (2,4)

• Vertex (3, -8)

• Vertex (-2, 4)

• Vertex (-4, -10)

What is the maximum of the parabola?

• (-1.5, 5.25)

• (0, 3)

• -1.5

• 5.25

Tags

CCSS.HSF-IF.C.7A

What is the minimum of the function?

• A -9

• B) 0

• C) 4

• D) 8

Tags

CCSS.HSF-IF.C.7A

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum

• Minimum

• Not enough information

Tags

CCSS.HSF-IF.C.7A

Given the equation for this parabola:

y= - (x-4)²-3,

does this parabola have a maximum or minimum value?

• Maximum

• Minimum

Tags

CCSS.HSF-IF.C.7A

Given the equation for this parabola:

y=-(x-4)²-3,

does this parabola have a maximum or minimum value?

• Maximum

• Minimum

Tags

CCSS.HSF-IF.C.7A

What is the minimum value of the parabola?

• -4

• -3

• -1

• (1, -4)

Tags

CCSS.HSF-IF.C.7A