Mathematics: The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. what are the coordinates of the vertex of the graph? (−9, −2) (−17, −2) (−2, −17) (−2, −9)

The axis of symmetry for a function in the form

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13.06.2020

ANSWER

The vertex is (-2,-9)

EXPLANATION

The given function is:

$f(x) = {x}^{2} + 4x - 5$

If the axis of symmetry of this vertical parabola is x=-2, then it means the x-value of the vertex is x=-2.

To find the y-value of the vertex, we substitute x=-2 into the function to obtain;

$f( - 2) = {( - 2)}^{2} + 4( - 2) - 5$

We simplify to get,

f( - 2) = 4 - 8- 5 = - 9

Hence the vertex is (-2,-9)

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