Write the quadratic function in vertex form. Then identify the vertex. g(x)= x²−4x−1

g(x)=

Vertex: ( , )

Step-by-step explanation:

To put the equation into vertex form, we need to complete the square

This is in the form

So, the vertex is (2, -5)

and

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

step-by-step explanation: 2