Factoring
x²=7x
x=0 and x=7
x²=49
x=±7
2x²-5x-7=0
x= 5± square root of 81 over 4
OR
5±9 over 4
Maximum
What is the highest point or biggest value.
x²-2x-24=0
x=6 and x=-4
x²-3x-10=0
x=5 and x=-2
2x²=72
The squared root of x²=36
x= ±6
x²+2x-8=0
-2+6 over 2 and -2-6 over 2
x=2 and x=-4
Minimum
What is the smallest value or lowest point.
x²-2x-15=0
x=3 and x=-5
2x²+4=9x
x=½ and x=4
(x-4)²=25
x=5+4=9
x=-5+4=-1
3x²-10x+5=0
x=5±1 square root of 10 over 3
Domain
What is how far left or right your graph can go.
x²-8x=-10
8± the square root of -48 over 2
x²-4x=21
x=7 and x=-3
3x²-30=12x
x=2± the square root of 14
2x²=7-x
x= -1± square root of 51 over 4
Range
What is how far bottom to top the graph goes.
5x²+5=-13x
-13± the square root of 69 over 10
x²-6x-16=0
x=4 and x=-4
x²-3x+2=0
x=2 and x=1
2x²+x=-1
x=-1± the square root of -7 over 4
NO Solution
Decreasing
What is where the graph is going down.
(x-3)(x-1)=0
x=3 and x=1