Question

find the intercepts and graph the equation by plotting points.
y = x² - 9
what are the intercepts? select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the intercept(s) is/are. (use a comma to separate answers as needed. type an ordered pair.)
b. there are no intercepts.

Explanation:

Step1: Find y-intercept (set x=0)

Substitute $x=0$ into $y=x^2-9$:
$y=(0)^2 - 9 = -9$
The y-intercept is $(0, -9)$.

Step2: Find x-intercepts (set y=0)

Substitute $y=0$ into $y=x^2-9$:
$0 = x^2 - 9$
$x^2 = 9$
$x = \pm 3$
The x-intercepts are $(3, 0)$ and $(-3, 0)$.

Answer:

A. The intercept(s) is/are $(-3, 0), (3, 0), (0, -9)$