Question

WHAT IS A 2ND DEGREE POLYNOMIAL FUNCTION WHOSE GRAPH HAS ONLY POSITIVE Y-VALUES

Answer 1

An example of quadratic equation with this behavior is:

$y = x^2 + x + 20$

Which is sketched at the end of this answer.

A quadratic equation has the format:

$y = ax^2 + bx + c$

It's roots are given by:

$\frac{-b \pm \sqrt{\Delta}}{2}$

The number of roots depends on the discriminant $\Delta = b^2 - 4ac$, that is:

• If $\Delta > 0$, it has two different real roots.
• If $\Delta = 0$, it has one real root.
• If $\Delta < 0$, it has no real roots.

In this problem, it will have only positive y-values if: $\Delta < 0$ and $c > 0$

Thus, an example is:

$y = x^2 + x + 20$

Which is sketched below.

A similar problem is given at brainly.com/question/19776811