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Find the vertex of the graph of f(x) = x2 + 4x - 5.

A. (-2,9)

B. (-2, -9)

C. (2, 7)

D. (0, -5)

User Timido
by
7.9k points

1 Answer

1 vote
You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)

(df)/(dx)=2x+4
Solve the equation:

2x+4=0
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:

(-2)^2+4 \cdot (-2)-5=4-8-5=-9

You get the same answer: x=-2, y=-9

So the answer is
B. (-2, -9)

Find the vertex of the graph of f(x) = x2 + 4x - 5. A. (-2,9) B. (-2, -9) C. (2, 7) D-example-1
User RuiG
by
9.2k points

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