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3 November, 16:20

What value represents the horizontal translation from the graph of the parent function f (x) 2 to the graph of the function g (x) = (x-4) 2+2? - 4 - 2 2 4

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  1. 3 November, 18:22
    0
    the answer is D
  2. 3 November, 20:14
    0
    The answer is 4

    Step-by-step explanation:

    so we know that this equation is in vertex form: y=a (x-h) + k where (h, k) is the vertex. The (-h) part is responsible for the horizontal translation of the graph. if h is (-), the graph moves h units left. If h is (+), the graph moves h units right. In this case, the graph moves 4 units to the right compared to the parent graph because h is positive.

    The graph of the function g (x) = (x - 4) ^2 + 2 is 4 units to the right of the function f (x) = x^2.

    Hence, the horizontal translation of the function f (x) = x^2 to the function g (x) = (x - 4) ^2 + 2 is + 4.

    What value represents the horizontal translation from the graph of the parent function f (x) = x2 to the graph of the function

    g (x) = (x - 4) 2 + 2?

    ⇒ 4
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