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20-09-2018
Mathematics

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The graph of f(x) = 2x^2 − 3x + 5 will be translated 8 units down, producing the graph of q(x). What equation represents the new function, q(x)?

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mathmate mathmate

20-09-2018

In general, to translate h units right, and k units up, we have

q(x)=f(x-h)+k

Here, h=0, k=-8, so

to translate f(x) 8 units down, we have

q(x)=f(x-0)-8

=2x^2-3x+5-8

=2x^2-3x-3

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