What is the equation of the axis of symmetry for the graph of y = x² - 2?

Solution:

Given y = x² - 2

In order to get the graph, we need to give sample values of x,y

For x = -3,y = 9 - 2 = 7

For x = -2,y = 4 - 2 = 2

For x = 1, y = 1 - 2 = -1

For x = 2, y = 4 - 2 = 2

For x = 3, y = 9 - 2 = 7

We get graph as follows.

The axis of symmetry is the line that divides the parabola into two identical parts. Hence, clearly, we can see that it is symmetric about the y-axis

Therefore, the equation of symmetry axis is x = 0

What is the equation of the axis of symmetry for the graph of y = x² - 2?

Summary:

The equation of the axis of symmetry for the graph of y = x² - 2 is x = 0, y-axis.