Question

The quadratic function f has a vertex at (3,4) and opens upward. The quadratic function g is shown below as g(x)=2(x-4)2+3. Which statement is true?  A. The maximum value of f is greater than the maximum value of g. B. The minimum value of f is greater than the minimum value of g. C. The maximum value of g is greater than the maximum value of f. D. The minimum value of g is greater than the minimum value of f.

Answer 1

The vertex coordinates of g(x) is (4,3). Indeed, the function is given as $g(x)=2(x-4)^{2}+3$ and when we set x = 4, then g(x) = 3 because the function is given in a closed form. In g(x) and f(x) the values 3 and 4 respectively are the minimum values. The functions are going upward. The value of f(x) is above the value of g(x). The correct answer is B