Which answer choice describes the following equation accurately?

Question

f(x)= -2x^2 +7x-2

1 Opens up with a maximum.

2 Opens up with a minimum.

3 Opens down with a maximum.

4 Opens down with a minimum.

Answer 1

When f(x) is of the form ax² +bx +c, f(x) is a parabola. If a is positive, the parabola opens up; if negative, it opens down. Parabolas that open up have a minimum; if open down, they have a maximum.

From the above, you should be able to choose the correct answer.

Answer 2

The parent quadratic function opens up and has a minimum. The negative sign out front causes a reflection on the x axis. So it will...

3 Opens down with a maximum