asked 59.7k views
4 votes
The equation of a parabola is y=x2–10x+25. Write the equation in vertex form.

2 Answers

5 votes

Answer:

y=(x–5)^2

Explanation:

answered
User LordParsley
by
7.8k points
1 vote
We must re-write the given equation in vertex form. "Vertex form" has this appearance: y-k = a(x-h)^2 (which applies to a vertical parabola).

Important: Please express "square of x" as x^2, not as x2.

We can re-write y = x^2 - 10x + 25, using "completing the square," as

y = (x-5)^2 + 0.
Multiply this out to verify that it does indeed equal x^2 - 10x + 25.

Then, in vertex form, the equation of this parabola is y - 0 = 1(x-5)^2.

The vertex (h,k) is at (5,0).
answered
User Mihn
by
7.9k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.