Answer
A) $(-5, 1)$
B) $x\lt -5$
C) $x\gt- 5$
D) $(-7.5, 0)$ and $(-2.5, 0)$
E) $(0, -3)$
Work Step by Step
A) The graph shows that when $x=-5$, $y= 1$. The vertex of the function is at $(-5, 1)$.
B) The function is increasing for $x< -5$.
C) The function is decreasing for $x>- 5$.
D) The graph crosses the $x$-axis when $x= -7.5$ and when $x= -2.5$. The horizontal intercepts are at $ (-7.5, 0)$ and $(-2.5,0)$.
E) When $x= 0$, $y= -3$. The vertical intercept is at $(0,-3)$.
