Question

Use the quadratic function f(x) = 2x2 + 4x +3 to answer the following questions.
a) Use the vertex formula to determine the vertex.
The vertex is
(Type an ordered pair. Simplify your answer.)

Answer 1

The vertex is (-1,1)

Explanation

The vertex formula to find the x coordinate of the formula is -b/2a

So we plug in the values into the formula which is

-4/2(2)

Simplify it

-4/4
=-1
-1 is now the x cord of the vertex.

So now we will plug in the x into the quadratic equation which is 2x^2+4x+3

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

Simplify it

5 - 4= 1

Y=1
So the Coordinates of the vertex is (-1,1)