Question

Find the vertex of the graph of the function. f(x) = 4x2 + 24x + 32

Answer 1

do you know derivatives?

Answer 2

Quadratic formula should be enough for this one.

Answer 3

To find the vertex, use -b/2a

Answer 4

That would give you the x value, now plug that value back into the equation to get the y value.

Answer 5

If you look at the quadratic formula, you would see that -b/2a is part of it.

Answer 6

@CliffSedge's formula would tell the roots, and the vertex would be the average of those
personally, i would use @zordoloom's formula because its easy. but you could use derivatives too

Answer 7

Also, the quadratic formula is the result of completing the square, and completing the square puts the quadratic into vertex form, so . . .

Answer 8

If you like taking derivatives, take the derivative which would give you the vertex, or Just simply use: -b/2a which should do the trick. Either one would work well. Just -b/2a is very simple.

Answer 9

i got (4, 5).. is that right

Answer 10

That wouldn't be correct.

Answer 11

You should have a negative x value.

Answer 12

(-4, -3)

Answer 13

No, that wouldn't be correct

Answer 14

Swap the x and y.

Answer 15

okay..thank you

Answer 16

yep.