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

Question

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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Thu Giang 4 years 2021-07-29T20:11:28+00:00 2 Answers 90 views 0

Answers ( )

  1. Cherry
    0
    2021-07-29T20:12:43+00:00
    Reply

    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 : )

  2. RobertKer
    1
    2021-07-29T20:13:08+00:00
    Reply

    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.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )