Question

Please help me w this an explain how you got it!.

Answer 1

Vertex → (2, 4)

Explanation:

Quadratic equation has been given as,

y = -x² + 4x

We rewrite this equation in the form of a function as,

f(x) = - x² + 4x

By comparing this equation with the standard quadratic equation,

y = ax² + bx + c

a = -1 and b = 4

Vertex of the parabola represented by this equation is given by
`[-(b)/(2a), f((-b)/(2a))]`

x coordinate =
`-(4)/(2(-1))`

= 2

y-coordinate = f(2)

= - (2)² + 4(2)

= -4 + 8

= 4

Therefore, vertex of the given function is (2, 4)