contestada

Does the quadratic have a maximum or minimum
vertex, and does the parabola open up or down?

A)max/ opens up
B)max/ opens down
C)min/ opens up
D)min/ opens down

Does the quadratic have a maximum or minimum vertex and does the parabola open up or down Amax opens up Bmax opens down Cmin opens up Dmin opens down class=

Respuesta :

Answer:

B)max/ opens down

Step-by-step explanation:

Parabola equation:

The equation of a parabola has the following format:

[tex]y = ax^2 + bx + c[/tex]

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

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

In this question:

[tex]y = -x^2 - 2x + 3[/tex]

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