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The function h is defined as follows.=hx−−5x27If the graph of h is translated vertically downward by 3 units, it becomes the graph of a function g.Find the expression for gx.Note that the ALEKS graphing calculator may be helpful in checking your answer.=gx

Question

The function h is defined as follows.=hx−−5x27If the graph of h is translated vertically downward by 3 units, it becomes the graph of a function g.Find the expression for gx.Note that the ALEKS graphing calculator may be helpful in checking your answer.=gx

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Solution

The function h(x) is given as h(x) = x - 5x^2/7.

If the graph of h is translated vertically downward by 3 units, it becomes the graph of a function g.

This means that we subtract 3 from the function h(x) to get the function g(x).

So, g(x) = h(x) - 3 = (x - 5x^2/7) - 3.

Therefore, the expression for g(x) is g(x) = x - 5x^2/7 - 3.

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