Question

What does the point (3,4+1/4•(5) represents in y=5(X-3)^2+4

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 = 5(x - 3)² + 4 ← is in vertex form

with a = 5, h = 3, k = 4

the equation of a parabola in this form has

focus (h, k +
`(1)/(4a)` )

using the above values , a = 5, h = 3, k = 4 , then

focus is (3, 4 +
`(1)/(4(5))` )