Ans: A
A is true. Substitute $y=0$ into the equation of the graph, we have
A is true. Substitute $y=0$ into the equation of the graph, we have
$\begin{array}{rcl}
25- (x-3)^2 & = & 0 \\
x^2 -6x -16 & = & 0 \\
(x-8)(x+2) & = & 0
\end{array}$
$\therefore x=8 \text{ or } x=-2$.
Therefore, the $x$-intercepts of the graph are $-2$ and $8$.
B is false. Substitute $x=0$ into the equation of the graph, we have
$\begin{array}{rcl}
y & = & 25- (0-3)^2 \\
& = & 16
\end{array}$
Therefore, the $y$-intercept of the graph is $16$.
C is false. The equation of the axis of symmetry of the graph is $x=3$.
D is false. The coordinates of the vertex are $(3,25)$.
