What are the coordinates of the vertex of y=x2−4x−5?

Emerson Barnes

Emerson Barnes

Answered

2022-01-21

What are the coordinates of the vertex of
y=x24x5?

Answer & Explanation

helsinka04

helsinka04

Expert

2022-01-22Added 11 answers

Step 1
y=x24x5
is a parabola with a slope (for arbitrary values of x) given by the expression
dydx=2x4
This slope is equal to 0 at the vertex of the parabola
2x4=0
x=2
When x=2 the equation for the parabola gives us
y=(2)24×(2)5
=9
So the coordinates of the vertex of the parabola are
(2, 9)

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