Answer
See graph
Work Step by Step
$$y=3(x-4)^2+2$$
This is a parabola with vertex (4,2) that opens upwards. We know this because the equation is in vertex form.
Substitute x-values to find their corresponding y-values.
$$y=3(5-4)^2+2$$
$$y=5$$
$$(5,5)$$
$$y=3(3-4)^2+2$$
$$y=5$$
$$(3,5)$$
Plot these points on a graph and connect with a smooth curve.
