CPM Homework Help : A2C Problem 2-57

Find the $x$ - and $y$ -intercepts and the equation of the line of symmetry for the graph of $y = x^{2} + 6x + 8$ .

Step 1:

Substitute $0$ for $y$ and solve to find the x-intercepts.

Step 2:

Substitute $0$ for $x$ to find the y-intercept.

Step 3:

Start to sketch the graph by locating the $x$ -intercepts and use the location of the $x$ -intercepts to figure out where the axis of symmetry must be.

Answer:

The y-intercept is $\left(0, 8\right)$ , the x-intercepts are $\left(−2, 0\right)$ and $\left(−4, 0\right)$ , and the line of symmetry is $x = −3$ .