# How do you graph #y = -x^2 - 4x - 3#?

##### 1 Answer

Apr 21, 2015

To start with the basic idea, this is a quadratic function with a negative leading term. It would therefore represent a vertical parabola, opening downward. Rewrite it in the following form:

y=

=

= -

This shows the vertex of the parabola (-2,1) and the axis of symmetry x=-2.

The graph would have two x intercepts, given by

The graph would have one y intercept given by y=-3.

Mark all the points given above on a graph and sketch the symmetrical figure of parabola on either side of the axis of symmetry.