Complete the Square
Solve by completing the square
X^2+14x+15=0
(1,-15)
What is Vertex?
The Highest or lowest point on the parabola
Solve using the quadratic formula
2m^2+2m-12
(2,-3)
Solve using square roots
k^2=16
(4,-4)
Solve by factoring
m(m-3)=0
(3,0)
Solve by completing the square
x^2+6x+8=0
(-2,-4)
What is Axis of Symmetry
The Center line where the parabola mirrors
Solve using the quadratic formula
x^2+4x+3=0
(-1,-3)
Solve using square roots
2n^2=-144
no solution
Solve by factoring
n^2=-18-9n
(-6,-3)
Solve by completing the square
x^2-12x+11=0
(11,1)
What is parabola
A graph of a quadratic function
Solve using the quadratic formula
4b^2+8b+7=4
(-1/2,-3/2)
Solve using square roots
7x^2=-21
no solution
Solve by factoring
7v^2-42=-35v
(-6,1)
r^2-4r-91=7
(2+sqrt(102),2-sqrt(102))
Ax^2+bx+c=0 A method of solving quadratics
Solve using the quadratic formula
k^2-31-2k=-6-3k^2-2k
(5/2,-5/2)
Solve using square roots
k^2=76
(8.717,-8.171)
Solve by factoring
3x^2-8x=16
(-4/3,4)
Solve by completing the square
p^2+14p-38=0
[−7 + Sqrt(87), −7 − sqrt(87)]
What is Roots
Where the parabola crosses the X axis
Solve using the quadratic formula
8n^2+4n-15=-n^2
(-2+2sqrt(37)/9,-2-2sqrt(37)/9)
Solve using square roots
-6m^2=-414
(8.306,-8.306)
Solve by factoring
42x^2-69x+20=7x^2-8
(7/5,4/7)