Question

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

Answer 1

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]}