Question

find the x- and y-intercepts.
y = |x - 5| - 8
write each intercept as an ordered pair.
if there is more than one intercept, use the \and\ button.
select
one\ if applicable.
part 1 of 2
x-intercept(s):

Explanation:

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

Set $y=0$, so $|x-5| - 8 = 0$

Step2: Isolate absolute value term

$|x-5| = 8$

Step3: Solve absolute value equation

This splits into two cases:
Case 1: $x-5 = 8$ → $x = 8 + 5 = 13$
Case 2: $x-5 = -8$ → $x = -8 + 5 = -3$

Step4: Find y-intercept (set x=0)

Set $x=0$, so $y = |0-5| - 8 = 5 - 8 = -3$

Answer:

x-intercept(s): $(-3, 0)$ and $(13, 0)$
y-intercept: $(0, -3)$