Question

Consider the following equation of a parabola.(y- 7)? = -4(x - 3)Step 1 of 3: Find the focus of the parabola.

Answer 1

Focus = (2, 7)

Step-by-step explanation

Given:

The following is the equation of a parabola

`(y-7)^2=-4x(x-3)`

What to find:

To find the focus of the parabola.

Step-by-step solution:

The general equation of a parabola can be given as,

`(y-k)^2=4p(x-h)`

Comparing the general equation of a parabola with the given equation of a parabola, we have

4p = -4

∴ p = -4/4 = -1

Also,

h = 3

k = 7

Since h ± c = F

We have,

3 - 1 = 2

Therefore, the focus will be (h ± c, k) = (2, 7)