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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
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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?
A. h(x) = −16×2 + 32x + 72; 72 ft
B. h(x) = −16×2 − 32x + 72; 32 ft
C. h(x) = −16×2 − 64x + 32; 32 ft
D. h(x) = −16×2 + 64x + 8; 72 ft
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2021-07-29T20:11:28+00:00
2021-07-29T20:11:28+00:00 2 Answers
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Answers ( )
Answer:
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.
Have a great day : )
Answer:
Step-by-step explanation:
h = −16(x − 2)² + 72
= −16((x − 2)(x − 2)) + 72 expand the square (x – 2)² = (x – 2)(x – x)
= -16 ((x)(x) + (x)(-2) + (-2)(x) + (-2)(-2)) + 72
= -16 (x² + (-2x) + (-2x) + (4) ) + 72
= -16 (x² + (-4x) + (4) ) + 72
= -16 (x² – 4x + 4 ) + 72
= (-16)(x²) + (-16)(-4x) +(-16)(4) + 72
= -16x² + 64x – 64 + 72
= -16x² + 64x + 8 My guess is D ; 72 ???
I have no clue what the ; 72 means after the given answer. It must be a standard form thing I never learned.