What are the x– and y–intercepts of the quadratic equation y = (x – 3)^2 – 25?

1 Answer
Feb 5, 2016

y-intercept: (-16)
x-intercepts: 8 and (-2)

Explanation:

The y-intercept is the value of y when x=0
color(white)("XXX")y=(x-3)^2-25 with x=0
color(white)("XXX")rarr y=(0-3)^2-25 = 9-25 = -16

The x-intercept(s) is/are the value(s) of x when y=0
color(white)("XXX")y=(x-3)^2-25 with y=0
color(white)("XXX")rarr0=(x-3)^2-25
color(white)("XXX")rarr 25 = (x-3)^2
color(white)("XXX")rarr (x-3)^2=25
color(white)("XXX")rarr x-3 = +-5
color(white)("XXX")rarr x=8 or x=-2