Which of the following equations is of a parabola with a vertex at (3, 0)? y = (x - 3) 2

Question

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

y = (x - 3) ²

Answer 1

The vertex equation for a parabola is y = a ( x - h)^ 2 + k. The vertex is h, k. If a is positive the parabola has both ends going up like a U. If a is negative the the parabola has both ends going down like a upside down U. The absolute value of the "a" term is how fast the ends go in the direction designated as the sign. In this example h = 3 and k = 0 for a vertex of 3, 0.

Answer 2

You have given only one choice...and it is a correct answer, i.e.

y=(x-3)² is the equation of a parabola with a vertex at (3,0).