# How do you solve y <=-2x^2 + 5x + 6?

Jun 25, 2016

The set of points {(x, y)) for the given inequality is given by the parabola #y=-2x^2+5x+6 and the region with.n the parabola. Draw the parabola and shade this set of points..

#### Explanation:

The given inequality could be rearranged to the form

$y - \frac{37}{2} \le - 2 {\left(x - \frac{5}{2}\right)}^{2}$/

For the equality sign, this represents the parabola, with vertex V(5/2,

37/2), axis parallel to y-axis, downwards.The focus is S(5/2, 18).

For any point inside this parabola, y < y in (x, y) right above on the

parabola.