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  • 12-05-2021
  • Mathematics
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The vertex of a quadratic function is (5,-6), what is the equation of the axis of symmetry in this function?

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  • 13-05-2021

Answer:

x = 5

Step-by-step explanation:

A quadratic equation:

f(x) = y = a*x^2 + b*x + c

Has a vertex in a point:

(h, k) such that:

h = -b/2a

and:

k = f(-b/2a)

And the axis of symmetry (this is the line that cuts the graph in two halves) is:

x = h.

In this case, the vertex is (5, -6)

Then the axis of symmetry is:

x = 5.

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