Quadratic Solving, Graphing, and Modeling

Use the graph to solve the equation. (Select all that apply.)

Find the zero(s) of f. Round to the nearest tenth, if necessary. (Select all that apply.)

Tags

CCSS.HSF-IF.C.7A

• The negative

  t-intercept does not have meaning in this situation because the height of the volleyball cannot be negative.

• The t-intercept, 2, shows that it takes 2 seconds for the volleyball to hit the ground after the serve.

• The negative

  t-intercept does have meaning in this situation because the height of the volleyball can be a negative.

• The t-intercept, 2, shows that it takes 2 minutes for the volleyball to hit the ground after the serve.

Find the zero(s) of f. Round to the nearest tenth, if necessary. (Select all that apply.)

• 3

• 1

• 2

• -1

Tags

CCSS.HSA.APR.B.3

• A

• B

• C

• D

A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x² + 8x where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river.  How high does the water go?

• It goes 11.78 feet high

• It goes 20 feet high

• It goes 40 feet high

• It goes 10 feet high

• 
• 
• 
• 

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water?

• 8 seconds

• 1 second

• 1.5 seconds

• 1/4 second

• A

• B

• C

• D

Which function best models the data?