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2 years ago

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

Mathematics

1 answer:

pishuonlain [190]2 years ago

6 0

Answer:

Vertex → (2, 4)

Step-by-step 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 $[-\frac{b}{2a}, f(\frac{-b}{2a})]$

x coordinate = $-\frac{4}{2(-1)}$

= 2

y-coordinate = f(2)

= - (2)² + 4(2)

= -4 + 8

= 4

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

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