Question

What are the x- and y-intercepts of the quadratic equation y = (x - 1)2 - 16? Identify the x-intercepts by graphing the quadratic equation.

A) x-intercepts: (3, 0) and (-5, 0)
y-intercept: (0, -16)

B) x-intercepts: (-3, 0) and (5, 0)
y-intercept: (0, -16)

C) x-intercepts: (3, 0) and (-5, 0)
y-intercept: (0, -15)

D) x-intercepts: (-3, 0) and (5, 0)
y-intercept: (0, -15)

Answer 1

so what do you see in the graph ?

Answer 2

Set x = 0, solve for y for y-intercept.
Set y = 0, solve for x's for x-intercepts.

Answer 3

Essentially, we do this because our intercepts are where the graph crosses the axes.

So when the graph crosses the x-axis, this is when y=0
When the graph crosses the y-axis, the x=0

Answer 4

See how y = 0 where all the x-intercepts are?


This is why we set y = 0 for x-intercepts and solve for x
And why we set x = 0 to solve for y-intercept