Given the function f(x)= -4(x-2)^2+7 complete the following. Please show all of your work.
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If f(x)=7, what is x ?
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What point(s) from part (i) are on the graph of f ?
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List the x-intercepts, if any, of the graph of f.
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List the y-intercept, if there is one, of the graph of f.