# How do you write the quadratic function #y=2x^2+4x-5# in vertex form?

##### 2 Answers

See a solution process below:

#### Explanation:

To convert a quadratic from

First, we must isolate the

We need a leading coefficient of

Next, we need to add the correct number to both sides of the equation to create a perfect square. However, because the number will be placed inside the parenthesis on the right side we must factor it by

Then, we need to create the square on the right hand side of the equation:

Now, isolate the

Or, in precise form:

The vertex is:

#### Explanation:

x-coordinate of vertex:

y-coordinate of vertex:

Vertex (-1, -7)

Vertex form of y: