Find the intercepts and graph the equation by plotting points. $$ y=x^{2}-9 $$

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To find the intercepts of the equation $$ y = x^2 - 9 $$, we need to find the points where the graph of the equation intersects the x-axis and the y-axis.

1. To find the x-intercept, we set $$ y = 0 $$ and solve for $$ x $$:
$$ 0 = x^2 - 9 $$
$$ x^2 = 9 $$
$$ x = \pm 3 $$

So, the x-intercepts are at $$ x = 3 $$ and $$ x = -3 $$.

2. To find the y-intercept, we set $$ x = 0 $$ and solve for $$ y $$:
$$ y = 0^2 - 9 $$
$$ y = -9 $$

So, the y-intercept is at $$ y = -9 $$.

Now, let's plot the points to graph the equation:
- Plot the x-intercepts at $$ (3, 0) $$ and $$ (-3, 0) $$.
- Plot the y-intercept at $$ (0, -9) $$.

By plotting these points, we can visualize the graph of the equation $$ y = x^2 - 9 $$.
To graph the equation $$ y = x^2 - 9 $$, find the x-intercepts at $$ x = 3 $$ and $$ x = -3 $$, and the y-intercept at $$ y = -9 $$. Plot these points and draw the parabola opening upwards.

Find the intercepts and graph the equation by plotting points. \( y=x^{2}-9 \)

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