<h3>Answer: D) center E, scale factor 1/4</h3>
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Explanation:
Point E is the center of the dilation (we can think of this as the origin point). This is because point E is in the same exact location as point E'. This is a fixed point. The other points move.
To find the scale factor, divide E'F' over EF
scale factor = (E'F')/(EF)
scale factor = 2/8
scale factor = 1/4
Keep in mind that EF = EF'+F'F = 2+6 = 8.
If it has real zeros at x=3 and 7, the factors of f(x) are:
(x-3)(x-7) so f(x) is
f(x)=x^2-10x+21