# How do you graph the inequality #y> -2x^2-4x+3#?

##### 1 Answer

See below:

#### Explanation:

Let's first see that we're going to have a parabola to draw.

The

The **y-intercept** is:

The **vertex** is at:

and so

We can now draw a graph:

graph{-2x^2-4x+3 [-11.25, 11.25, -4.05, 7.2]}

We want to now work with the inequality. We want values where

Let's look at the origin,

Which means the valid solution set is outside the parabola (but doesn't include the line defining the parabola itself, and so we use a dotted line. Had the question been

graph{y> -2x^2-4x+3 [-11.25, 11.25, -4.05, 7.2]}