Question

Sketch the graph of the quadratic function and the axis of summetry. State the vertex, and give the equation for the axis of symmetry. F(x)=x^2-5

Answer 1

We have the next function

$f(x)=x^2-5$

In order to sketch the graph, we can calculate some points

x f(x)

-5 20

-2 -1

0 -5

2 -1

5 20

The sketch is

As we can see the vertex is (0,-5), and the equation of the axis of symmetry is x=0 the axis of symmetry is the line in blue