Question

[9.01] Determine whether the graph of y = −2x2 − 3x + 10 opens up or down and whether it has a maximum or minimum point.

Down and Maximum

Down and Minimum

Up and Maximum

Up and Minimum

Answer 1

a is negative, so can you give an estimate of what hte graph is shaped like?

Answer 2

opens down

Answer 3

Yup. does that look like a maximum or a minimum?

Answer 4

maximum!

Answer 5

thanks!

Answer 6

If the coefficient on the x^2 term is negative the graph opens downward and has a maximum.
If the coefficient on the x^2 term is positive the graph opens upwards and has a minimum.
If you can't remember this plot the graph on your calculator.

Answer 7

Yup.

Answer 8

thanks for the medals!