Consider the two functions. f(x) = x 2 – 8x + 7 do the minima of the two functions have the same x-value? which of the functions has the greater minimum?

Answer:   i) both minima have the same x-value: 4ii) the minimum of the graph is greater thant the minumum of the function x² - 8x + 7.explanation: the second function is missing. i found it. it is given by a graph and i attache it.1) the two functions whose minima need to be compared are: a) f(x) = x² - 8x + 7, andb) the graph attached.2) the minimum of f(x) = x² - 8x + 7, may be found if you complete squares. and the minimum of the other function is read directly in the graph.3) complete squares for x² - 8x + 7.i) (x² - 8x + 16) - 16 + 7ii) (x - 4)² - 94) compare with the vertex form equation of the parabola: a(x - h)² + k, where the vertex is (h, k).∴ vertex = minimum = (4, -9)5) in the graph it is shown the vertex as (4, - 4).6) now you can answer: i) both minima have the same x-value: 4ii) the function x² - 8x + 7 has minimum equal to - 9, and the graph has minimum equal to - 4, so the minimum of the graph is greater.

should be 4;12

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