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anonymous12345678987
The vertex of the parabola is where the function opens up or closes. The x coordinate can be determined by using the formula x = -b/2a. Using this formula, we find that x = -4. Plug in -4 for x and you’ll find that the coordinates of the vertex are (-4,-18).
CintiaSalazar

Considering the definition of vertex, the vertex of the function f(x) = x² + 8x - 2 is (x,y)= (-4;-18).

Vertex of a quadratic equation

The vertex of a quadratic equation or parabola is the highest or lowest point on the graph corresponding to that function.

The vertex is in the plane of symmetry of the parabola; anything that happens to the left of this point will be an exact reflection of what happens to the right.

Then, from the vertex the parabola becomes increasing or decreasing, so it represents the maximum or minimum of the function.

Being the quadratic function f(x)= ax² + bx + c with a≠0, the expression to find the value x of the vertex is [tex]x=\frac{-b}{2a}[/tex]

Then you must enter the numerical value of x in the quadratic expression to find the value of the y coordinate of the vertex. This is f([tex]\frac{-b}{2a}[/tex]).

Vertex of the function f(x) = x² + 8x - 2

In this case:

  • a= 1
  • b= 8
  • c= -2

Substituting in the definition of vertex, it is obtained that its value in x is:

[tex]x=\frac{-8}{2x1}= \frac{-8}{2}=-4[/tex]

Then, the value of the vertex at y is obtained by:

f(-4) = (-4)² + 8×(-4) - 2= -18

Finally, the vertex of the function f(x) = x² + 8x - 2 is (x,y)= (-4;-18).

Learn more about the vertex:

https://brainly.com/question/24737967

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