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Properties
Finding Roots
How many real solutions?
Completing the Square
Quadratic formula
100
x=-b/2a
What is the axis of symmetry?
100
(x^2)-9=0
3,-3
100
(x^2)+4x-15=0
2
100
(x^2)+6x+8=0
-3,-1
100
quadratic formula
What is x=[-b+/- square root(b^2-4ac)]/2a
200
Highest or Lowest point of a parabola.
What is the vertex?
200
(w^2)+6=22
4,-4
200
9(x^2)-49=0
2
200
(k^2)+8k+12=0
-2,-6
200
2(v^2)-5v+3=0
1.5,1
300
Point where a function passes through the y-axis.
What is the y-intercept?
300
5(z^2)-45=0
3,-3
300
(x^2)+2x+1=0
1
300
(x^2)+12x+20=0
-2,-10
300
3(a^2)=6a-3
-1
400
Highest point of a function.
What is the maximum?
400
(x^2)+8x+15=0
-3,-5
400
(x^2)+4x+9=0
0
400
(p^2)+2p=63
7,-9
400
(x^2)=-3x+40
-8,5
500
Formula for the discriminant.
What is (b^2)-4ac?
500
(x^2)-4x=21
7,-3
500
3(p^2)+4p=10
0
500
(m^2)-12m-26=0
m=6+2*square root 6 m=6-2*square root 6
500
14(m^2)+1=6(m^2)+7m
[7+/-square root 17]/16