A ball is thrown into the air. The height h, in feet, of the ball after x seconds is given by the function h = - 16 (x - 2) 2 + 72. What is the equation in standard form and the maximum height of the ball?

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Mathematics

6 February, 07:02

A ball is thrown into the air. The height h, in feet, of the ball after x seconds is given by the function h = - 16 (x - 2) 2 + 72. What is the equation in standard form and the maximum height of the ball?

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Enrique Bailey · Answer 1

A. - 16x²+64x+8

B. 72 ft.

Step-by-step explanation: A. Expand the perfect square binomial - 16 (x²-4x+4) + 72, dist. - 16 (-16x²+64x-64+72), then combine like terms (-16x²+64x+8)

B. Find the abs. max. by looking back at the vertex form. The max is (2,72). Use the y-value for the height.