The following work represents an attempt to find the equation of the parabola which has a vertex of (0, 0) and passes through the point (1, 3). Is the work correct? If not, what is the error?
y=a(x-h)^2+k
0=a(0-1)^2+3
-3=a
y=a(x-h)2+k
y=-3(x)^2
y=-3x^2
A.
The equation is correct.
B.
a = –3 should have been a = 9.
C.
0=a(0-1)^2+3 should have been 3=a(1-0)^2+0
D.
-3x^2 should have been 23x^2 + 3.x