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

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 $x = 0$
$\textcolor{w h i t e}{\text{XXX}} y = 2 {\left(\left(0\right) - 3\right)}^{2} = 18$

Similarly the x-intercept(s) is/are (there are often two with a parabola) the value(s) of $x$ when $y = 0$
$\textcolor{w h i t e}{\text{XXX}} 0 = 2 {\left(x - 3\right)}^{2}$
only has a single solution $x = 3$
graph{2(x-3)^2 [-20.84, 52.2, -10, 26.53]}