65.9k views
5 votes
How would you find the y-coordinate of the vertex of a parabola if you only have the equation

User Natarsha
by
7.4k points

1 Answer

4 votes

Answer:

See below.

Explanation:

If you have the vertex form of the equation, shown below, the vertex is at (h, k) so the y coordinate of the vertex is k:

y = a(x - h)^2 + k.

If the equation of the parabola is in standard form you can find it by converting to vertex form;

Find the vertex of the parabola y = x^2 - 2x - 10:-

y = x^2 - 2x - 10 Completing the square:

y = (x - 1)^2 - 1 - 10

y = (x - 1)^2 - 11

The vertex is at (1, -11).

y -coordinate is -11.

User Flozia
by
8.1k points

No related questions found