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anastassius [24]
3 years ago
13

F(x)=x²+4x-7 determine the vertex

Mathematics
1 answer:
asambeis [7]3 years ago
3 0

Answer:

The vertex of this parabola is (-2,-11)

Step-by-step explanation:

One way of finding the x-coordinate of the vertex of a parabola is by using the equation -\frac{b}{2a}

From the function f(x)=x^2+4x-7, we can see that

a=1\\b=4\\c=-7

This means that

-\frac{b}{2a}=-\frac{4}{2(1)} =-2

So, the x-value of the vertex is -2. Now, we can plug this x-value into the function to find the y-coordinate of the point.

f(x)=x^2+4x-7\\\\f(-2)=(-2)^2+4(-2)-7\\\\f(-2)= 4-8-7\\\\f(-2)=-11

Thus, the vertex of this parabola is (-2,-11)

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