Question

In: Math

Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)...

Find the coordinates of the vertex for the parabola defined by the given quadratic function.

f(x) = x2 + 8x - 8

Expert Solution

Given quadratic function is:

-----(1)

(1) is in the standard form of a parabolic equation.

The generalised equation of a parabola is:

------(2)

If the vertex of the parabola given by (2) is (h,k), then:

-----(3)

-----(4)

(f(h) is obtained by substituting "h" in the place of "x" in f(x))

From (2) we can understand that in the given f(x):

a=1, b= 8 and c=-8

From (3):

From (4):

Vertex is (h,k)=(-4,-24)

So the coordinates vertex of a parabola defined by the given quadratic function are: (-4,-24)

milcah answered 2 years ago

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