SOLUTION: Hello, I need help finding the equation of the axis of symmetry and the coordinates of the vertex of the graph of: y=2x^2+4x-5 Thank you

Question 103996: Hello,

I need help finding the equation of the axis of symmetry and the coordinates of the vertex of the graph of: y=2x^2+4x-5

Thank you
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To find the axis of symmetry, use this formula:

From the equation we can see that a=2 and b=4

Plug in b=4 and a=2

Multiply 2 and 2 to get 4

Reduce

So the axis of symmetry is

So the x-coordinate of the vertex is . Lets plug this into the equation to find the y-coordinate of the vertex.

Lets evaluate

Start with the given polynomial

Plug in

Raise -1 to the second power to get 1

Multiply 2 by 1 to get 2

Multiply 4 by -1 to get -4

Now combine like terms

So the vertex is (-1,-7)

Notice if you graph the equation you get

and you can see that the vertex is (-1,-7)

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