Chapter 1.8, Problem 27PFA

To determine

To find:Which statement best describe the graph.

Answer to Problem 27PFA

(b) The $x$ intercepts are $-3$ and $1$ , the $y$ intercept is $3$ and the axis of symmetry is $x=-1$

Explanation of Solution

Given: Which statement best describes the graph.

  

(a) The $x$ intercepts are $-3$ and $1$ , the $y$ intercept is $3$ and the axis of symmetry is $y=4$

(b) The $x$ intercepts are $-3$ and $1$ , the $y$ intercept is $3$ and the axis of symmetry is $x=-1$

(c) The $x$ intercepts are $-1$ and $3$ , the $y$ intercept is $3$ and the axis of symmetry is $y=4$

(d) The $x$ intercepts are $-3$ and $1$ , the $y$ intercept is $4$ and the axis of symmetry is $x=-1$

From the graph it is concluded that

The $x$ intercepts are $-3$ and $1$ , the $y$ intercept is $3$

Because the graph crosses the $x$ axis at $-3$ and $1$ and $y$ axis at $3$

The maximum of the graph is at $(-1,4)$

If the vertical line through this maximum point is drawn we get the axis of symmetry at $x=-1$

Hence

Option (b)

The $x$ intercepts are $-3$ and $1$ , the $y$ intercept is $3$ and the axis of symmetry is $x=-1$