Question

Choose the correct graph to fit the inequality

y<16x ^2

Answer 1

The graph that represents the inequality is in the image at the end.

Which graph represents the inequality?

Here we have the inequality:

y < 16x²

This is a parabola that opens upwards, with a vertex at the point (0, 0).

The area shaded must be the area below the parabola, and because we have the symbol "<" we must graph the parabola with a dashed line instead of a solid line.

With this in mind, we can see that the correct option is the third graph.

Answer 2

The solution in the attached figure

Explanation:

we have

`y<16x^(2)`

we know that

The solution of the inequality is the shaded area below the dashed line of the parabola

The equation of the dashed line is the vertical parabola
`y=16x^(2)`

therefore

The solution in the attached figure