True or False Quadratic Function:

Question

y=3(x+4)^2+2

The roots of the following quadratic function are real and rational

Answer 1

The curve opens up and its vertex is (-4,2). It does not cross the x-axis since its minimum y is 2. Therefore, the function does not have real roots. You can also expand the function to standard form, then evaluate its discriminant and see that the discriminant is negative.