Word Problems: Quadratic Functions. Can you think of anything that makes these parabola shapes?

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Presentation transcript:

Word Problems: Quadratic Functions

Can you think of anything that makes these parabola shapes?

Word Problems Your friend punts a football. Its altitude h in feet after t seconds is given by the function h = -3t t a.) In how many seconds does the football reach maximum altitude? b.) What is the maximum altitude?

Word Problems Your friend punts a football. Its altitude h in feet after t seconds is given by the function h = -3t t Negative a: downward No constant (c) : y-intercept at 0. Height (h) Time (t) Picture the path of a football after being punted.

h = -3t t a.) In how many seconds does the football reach maximum altitude? Height (h) Time (t) Maximum = the Vertex seconds

h = -3t t b.) What is the maximum altitude? Height (h) Time (t) Vertex: (4, ?) feet h = -3(4) (4) h = -3(16) + 96 h = h = 48

Homework: pg 330 (2-26 evens)