Question

If the value of a in the quadratic function f(x) = ax2 + bx + c is 4, the function will_______.

Answer 1

mhmm are there options given? The function can be a lot of things haha :)

Answer 2

open down and have a maximum
open down and have a minimum
open up and have a minimum
open up and have a maximum

Answer 3

ah yes, of course.

Just graph f(x) = 4x^2 and what do you see?

Does it open up or down?

If it opens up like U then it has a minimum value
if it opens down then it has a maximum value

Answer 4

open up and have a minimum?

Answer 5

Correct!

Answer 6

This might help you remember why when a>0 will give you a minimum

Answer 7

Because it opens upward like a U, the vertex will be at the bottom so that's why it would have a minimum

Answer 8

And then vice versa for when a<0