Modeling with Quadratic Functions

The height of an object thrown into the air can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

• Look for the maximum height given in the original equation

• Find both coordinates of the vertex

• t = 3 seconds

• t = 10 second

• t = 4 seconds

• t = 2 seconds

When the question says, "What is the maximum height the ball reaches?", what are you looking for on the graph?

• vertex

• x-intercept

• y-intercept

• point on the graph

Q32

• y = 0.001x² - 0.426x + 35.672

• y = -0.60x² + 348.1x - 334.2

• y = 0.001x² + 35.672

• y = -0.60x² - 334.2

A company collected data for the number of text messages sent and received using a text-message application since October 2011. The table shows the number of text messages sent and received in billions over time. The data can be modeled by a quadratic function. Which function best models the data?

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• A

• B

• C

• D

• A

• B

• C

• D