# Find vertex and intercepts for the equation and sketch a graph

Find the vertex and intercepts for the Quadratic function, and sketch its graph, SHOW ALL THE STEPS IN SOLVING THE PROBLEM.

y = x^2 -4x -12

https://brainmass.com/math/algebra/find-vertex-and-intercepts-for-the-equation-and-sketch-a-graph-4588

#### Solution Preview

y=x^2-4x-12

Vertex:

Use formula x=-b/(2a) for x-coordinate of y=ax^2+bx+c

In our case

a=1

b=-4

c=-12

So x=4/2=2 is the x-coordinate of the vertex

y=2^2-4*2-12=-16 ...

#### Solution Summary

The vertex and intercepts for an equation are found and a graph is sketched.

$2.19