Question

Help! I have the answer but I don't how to get the answer
Find and graph the following graph and then find the intercepts (x and y) and the vertex

Answer 1

Okay. So first off, to find the intercepts we need to set the other variable to 0. Following so far?

Answer 2

yes

Answer 3

a "normal" parabola (that has a "smile" shape) has the equation
y= a x^2 + b x +c

this one has
x = a y^2 + b y + c with a= 4, b=-3 and c=0

because it is x = y^2 you know it is not a "smile" or "frown" it opens sideways: either to the right or left.
in this case it opens to the right (
you can figure this out by picking a big y value say +100 and also -100. both of these y values give you a big x. if you plot the points you see they are on the right side of the y-axis