Question

using the graph of y = x2 + 4x – 5 how do I know if that function has a minimum or a maximum?

Answer 1

well how you really need to do is see if coefficient of x^2 is neg or pos

Answer 2

neg=> max
pos=>min

Answer 3

look at the coeeficient 'a'. the general form of parabola is ax^2 + bx
If a is positive, then it would have a minimum since it concaves up
If a is negative, then it would have a maximum since it concaves down

Answer 4

This function has a minimum but no maximum.

Answer 5

It's a quadratic because the highest exponent in the equation is 2.
The x^2 is positive, so the graph will be pointing upward.
So it'll look like a kind of U shape, which means that there will be a minimum.

Answer 6

And the minimum is \(\frac{-D}{4a} \)

Answer 7

at \( x =\frac{-b}{2a} \)

Answer 8

it is basically the coordinates of the vertex what we are looking for here.

Answer 9

ok so since my graph does "U" shape then it is a maximum?