CPM Homework Help : INT3 Problem 1-89

If $g(x) = x^2 - 5$ , where does the graph of $g(x)$ cross the $x$ -axis? Make a sketch of the graph.

Hint:

Remember problem 1-71.

Step 1:

To find the $x$ -intercepts, or roots, set the equation equal to $0$ .

$(0) = x^2 - 5$

Step 2:

Solve for $x$ .

$5=x^2 \rightarrow \pm \sqrt{5}=x$

Answer:

$\left(\pm \sqrt{5},0\right)$

Upward parabola, vertex at (0, comma negative 5).