Find the Minimum or Maximum of Quadratic Functions

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A

Does this graph in the back have maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A

Determine if the function graphed has a maximum or a minimum value and identify that value.

• maximum at -1

• minimum at -1

• maximum at 4

• minimum at 4

Tags

CCSS.HSF-IF.C.7A

f(x) = x² - 12x + 35

Find the vertex of the following.

• (7,0)

• (5, 0)

• (0, 35)

• (6, -1)

The minimum of a quadratic function is

• The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing

• The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing

What is the minimum value of the quadratic function?

• -3

• -1

• All real numbers

• 1

Tags

CCSS.HSF-IF.C.7A

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

What is the maximum value of the function shown?

• 4

• 3

• 1

• -3

Tags

CCSS.HSF-IF.C.7A

What is the maximum value of the quadratic shown?

• 3

• 5

• -2

• 4

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec.  This can be modeled with the function h(t) = -16t² + 96t.  What is the maximum height?

• 145 feet

• 160 feet

• 130 feet

• 135 feet