Describe the transformation from the graph of f(x) =ax^2 to the graph of g(x) = a(x-h)^2+k

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Describe the transformation from the graph of f(x) =ax^2 to the graph of g(x) = a(x-h)^2+k

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Thanh Hà 3 years 2021-08-12T14:00:55+00:00 1 Answers 9 views 0

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  1. thienthi
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    2021-08-12T14:02:39+00:00
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    Answer: Step-by-step explanation:

    f(x)=ax^2→g(x)=a(x-h)^2+k

    The horizontal shift depends on the value of h. The horizontal shift is described as:  

    g(x)=f(x+h) – The graph is shifted to the left h units.

    g(x)=f(x−h) – The graph is shifted to the right h units.

    Hence, in the question above, Horizontal Shift: Right h Units

    The vertical shift depends on the value of k. The vertical shift is described as:

    g(x)=f(x)+k – The graph is shifted up k units.

    g(x)=f(x)−k – The graph is shifted down k units.

    Therefore, in the question above, Vertical Shift: Up k Units

     

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