Question

F(x)=x²+4x-7 determine the vertex

Answer 1

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 $(-2,-11)$