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Alexeev081 [22]
3 years ago
12

Find the equation of the axis of symmetry and the coordinates of vertex of the functions =2x^2+4x-3

Mathematics
1 answer:
SVEN [57.7K]3 years ago
8 0
Hello,

Find the equation of the axis of symmetry is like find the maximum or minimum point of this function.

f(x)=2x^2+4x-3\\\\\alpha=-\dfrac{b}{2a}=-\dfrac{4}{4}=-1\\\\

The equation of the axis of symmetry is then :   x=-1

\beta=f(\alpha)=2(-1)^2+4(-1)-3=2-4-3=-5

Coordinates of vertex :   (\alpha,\beta)=(-1;-5)
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