Which statements about f(x) = −(x − 7)2 + 4 are true?

A, D, and F

Step-by-step explanation:

A. True, because  represents a quadratic function (the greatest power of x is 2)

B. False, because this function is quadratic, so cannot be linear

C. False. The vertex of the parabola is at point (-7,4) (see diagram)

D. True. The axes of symmetry is the line x=-7 that passes through the vertex.

E. False. The y-intercept is at point x=0 and

F. True. The graph has the maximum at the vertex, where

G. False. The graph of the parabola intersects the x-axis at two points (-9,0) and (-5,0), so x=-9 and x=-5 are two real solutions of the equation f(x)=0.