Determine whether the graph of y = 2x2 + 7x − 9 opens up or down and whether it has a maximum or minimum point.

Down; Minimum

Down; Maximum

Up; Minimum

Up; Maximum

Question

Determine whether the graph of y = 2x2 + 7x − 9 opens up or down and whether it has a maximum or minimum point.

 Down; Minimum

 Down; Maximum

 Up; Minimum

 Up; Maximum

jim_thompson5910 · Answer

What's the leading coefficient in this case?

anonymous · Answer

what do you mean? it is asking how the equation opens up on a graph

jim_thompson5910 · Answer

In general,

If the leading coefficient is positive, then the parabola opens up and has a minimum point.

OR

If the leading coefficient is negative, then the parabola opens down and has a maximum point.

jim_thompson5910 · Answer

The leading coefficient is the coefficient of the term that has the largest exponent.

anonymous · Answer

This is the graph of the quadratic equation. From this, you can see whether the graph opens up or down.

anonymous · Answer

so its Up; Minimum?

jim_thompson5910 · Answer

yes

jim_thompson5910 · Answer

this is because the leading coefficient (which is 2) is positive

anonymous · Answer

That's right! :)

anonymous · Answer

thank you guys!

anonymous · Answer

You're welcome.