Question

Which of the following equations is of a parabola with a vertex at (0, 3)?



y = (x - 3)2

y = (x + 3)2

y = x2 - 3

y = x2 + 3

Answer 1

it is the third choice down. The fact that there is no parenthesis around the x and another number, like (x-3), tells you there is no change from the x coordinate being at 0. The -3, however, if you were to move it over to the "y" side of the equals sign, would be a positive 3, telling you that the y coordinate for the vertex is 3. so in actuality, your equation could look like this:
y-3=(x-0)^2.
That tells us that the x coordinate for the vertex is 0 and the y coordinate is 3.