What are he intercepts of y=2(x-3)^2?

1 Answer
Oct 27, 2015

y-intercept: y=18
x-intercept: x=3 (there is only one)

Explanation:

The y-intercept is the value of y when x=0
color(white)("XXX")y=2((0)-3)^2 =18

Similarly the x-intercept(s) is/are (there are often two with a parabola) the value(s) of x when y=0
color(white)("XXX")0=2(x-3)^2
only has a single solution x=3
graph{2(x-3)^2 [-20.84, 52.2, -10, 26.53]}