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Sergio [31]
3 years ago
12

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 2x2 + 4x –3

Mathematics
2 answers:
egoroff_w [7]3 years ago
8 0
Your vertex would be (-1,-5)
and your axis of symmetry is x=-1
Oksana_A [137]3 years ago
7 0

Answer:

Axis of symmetry is x=-1.

The vertex of the graph is (-1,-5).

Step-by-step explanation:

If a quadratic function is f(x)=ax^2=bx+c, then the axis of symmetry is

x=-\frac{b}{2a}

Vertex=(-\frac{b}{2a},f(-\frac{b}{2a}))

The given equation is

y=2x^2+4x-3

Here,

a=2,b=4,c=-3

The axis of symmetry is

x=-\frac{4}{2(2)}=-1

Substitute x=-1 in the given equation to find the y-coordinate of the vertex.

y=2(-1)^2+4(-1)-3

y=2-4-3

y=-5

Therefore, the vertex of the graph is (-1,-5).

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