Question

How is the graph of y=3x^2+2 different fom the graph of y=3x^2?

Answer 1

The first equation
$y = 3 {x}^{2} + 2$
is 2 units shifted vertically upwards. Note that the y - intercept for the equation
$y = 3 {x}^{2}$
is zero and
$y = 3 {x}^{2} + 2$
has a y - intercept of 2.