Question

The minimum of a parabola is located at (–1, –3). The point (0, 1) is also on the graph. Which equation can be solved to determine the a value in the function representing the parabola?

1 = a(0 + 1)2 – 3
1 = a(0 – 1)2 + 3
0 = a(1 + 1)2 – 3
0 = a(1 – 1)2 + 3

Answer 1

Answer:

It's A, 1 = a(0 + 1)2 – 3

explanation:

EDGE 2021

Answer 2

Option, 1 = a(0+1)^2 -3 is the function representing the parabola is the correct answer.

What is a parabola?

A parabola is a symmetrical plane curve that forms when a cone intersects with a plane parallel to its side. A parabola is the set of points in a plane that are the same distance from a given point and a given line in that plane.

For the given situation,

The minimum of a parabola is at (h,k) = (-1,-3).

The point on the parabola is (x,y) = (0, 1) .

The general equation of a parabola is, y = a(x-h)^2 + k

Substitute all the points in the equation,

⇒ $1=a(0-(-1))^{2} +(-3)$

⇒ $1=a(0+1)^{2}-3$

Hence we can conclude that option, 1 = a(0+1)^2 -3 is the function representing the parabola is the correct answer.

Learn more about parabola here

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