Answer:
A, D, F
Step-by-step explanation:
A. True, because [tex]f(x)=-(x+7)^2+4[/tex] represents 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 [tex]y=-(0+7)^2+4=-49+4=-45.[/tex]
F. True. The graph has the maximum at vertex, where [tex]y_{max}=4.[/tex]
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.
