Question

In the following exercises, graph by plotting point.

Graph$y=x^2-2$

Short answer

The given quadratic equation is:

$y=x^2-2$

Step-by-step solution

Step 1. Given information.

The given quadratic equation is:

$y=x^2-2$

Step 2. Plot the graph by plotting the point.

For drawing the graph we can select any random value for xand substitute that value in the given equation so that we can find the value of y.

We can select any value for xnegative, positive, or zero.

x	$y=x^2-2$	(x,y)
-2	${\left(-2\right)}^2-2=2$	(-2,2)
-1	${\left(-1\right)}^2-2=-1$	(-1,-1)
0	${\left(0\right)}^2-2=-2$	(0,-2)
1	${\left(1\right)}^2-2=-1$	(1,-1)
2	${\left(2\right)}^2-2=2$	(2,2)

Step 3. Plot the graph.

Plot the ordered pairs in the third column and connect them with a smooth curve. The graph of $y=x^2-2$will be produced, as illustrated below.