Question

Does the quadratic have a maximum or minimum

Answer 1

Answer:

B)max/ opens down

Step-by-step explanation:

Parabola equation:

The equation of a parabola has the following format:

$y = ax^2 + bx + c$

If $a > 0$, that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.

If $a < 0$, that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.

In this question:

$y = -x^2 - 2x + 3$

From the graph, we already see that it opens down and has a max, and analitically, since $a = -1 < 0$, this is confirmed. The correct answer is given by option b.