# How do you write # y = 2x^2 + 3x − 5# in vertex form and identify the vertex, y intercept and x intercept?

##### 1 Answer

#### Explanation:

You must complete the square to solve this:

vertex form is:

to complete the square we need a leading coefficient of 1 so factor out the 2

now

remember the c value must be multiplied by the 2 we factored out before we add it to the left side!

finally isolate the y and it is in vertex form:

Y-int is

you must factor it to find the roots (x-intercepts)

So the x-intercepts are