Mathematics: The focus of the parabola is: (0, -2) (2, 0) (-2, 0)

The focus of the parabola is: (0, -2) (2, 0) (-2, - id0220207005625, kenleighbrooke67

eduardo2433

29.01.2022

the answer is given below

Step-by-step explanation:

The question is not complete, I would show you how to find the focus of a parabola when given an equation.

A parabola is the locus of a point in which its distance from a fixed point (focus) and a fixed line (directrix) is equal.

The general equation of a parabola in vertex form is given by:

y = a(x - h)² + k

The vertex is (h, k) and the focus is $(h,k+\frac{1}{4}a )$

For example given an equation: 4y = (x - 3)²

4y = (x - 3)²

First we need to divide through by 4, this gives:

4y/4 = (x - 3)²/4

y = (x - 3)²/4

Comparing with The general equation of a parabola in vertex form is given by:

y = a(x - h)² + k

The vertex = (h, k) = (3, 0), the focus is $(h,k+\frac{1}{4}a )$ = (3, 1/16)

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