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

1 Answer
Oct 27, 2015

Answer:

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]}