Question

What does the point (-1,6 + 4. 42)) represent in y =-2 ( x+ 1)^2+6?

Answer 1

focus

Explanation:

the equation of a vertically opening parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

y = - 2(x + 1)² + 6 ← is in vertex form

with a = - 2 , h = - 1 , k = 6

the focus of a parabola in this form is (h, k +
`(1)/(4a)` )

using the above values a = - 2, h = - 1 , k = 6 , then

focus is (- 1, 6 +
`(1)/(4(-2))` )