Question

how do you find the minimum or maximum value of a quadratic function

Answer 1

calculus ?

Answer 2

Find the vertex

Answer 3

or without calculus ?

Answer 4

well ill let @harttnn handle it :D

Answer 5

algebra

Answer 6

so say u have a quadratic function like f(x)=ax^2+bx+c
first, u need to bring it in the form of f(x)= a(x-h)^2+k
then max. or min occurs at vertex h,k

Answer 7

any particular question ?

Answer 8

2x^2+20x-9

Answer 9

or simply u can use that max. or min of f(x)=ax^2+bx+c occurs at -b/2a

Answer 10

thats what i was thinking

Answer 11

but it doesnt give me the result

Answer 12

so, Compare your quadratic equation with \(f(x)=ax^2+bx+c\)
find a,b,c.
what result u got ?

Answer 13

-59

Answer 14

a=2 b=20 c=-9

Answer 15

so -20/4 = ?

Answer 16

-5

Answer 17

and then you plug it in?

Answer 18

hahaha wow!

Answer 19

yes, thats correct.

Answer 20

i have another question

Answer 21

ask..

Answer 22

to graph f(x)=4x^2-8x+1 starting with the graph y=x^2

Answer 23

so u have graph of y=x^2

Answer 24

yes

Answer 25

i have to use transformation in order to graph the new function