Write the vertex form of the equation of the parabola which has a vertex of (0,0) and contains the point (1,2). A. Y=2x^2. B. Y=

Question

AnnyKZ [126]

3 years ago

8

Write the vertex form of the equation of the parabola which has a vertex of (0,0) and contains the point (1,2). A. Y=2x^2. B. Y=

2(x-1)^2. C. Y=x^2. D. Y=(x+1)^2+1

Mathematics

1 answer:

Aleonysh [2.5K] · Answer 1 · 2022-06-08T02:39:24+03:00

General equation of parabola: y-k = a(x-h)^2

Here the vertex is at (0,0), so we have y-0 = a(x-0)^2, or y = ax^2

All we have to do now is to find the value of the coefficient a.

(1,2) is on the curve. Therefore, 2 = a(1)^2, or 2 = a(1), or a = 2.

The equation of this parabola is y = 2x^2.