QUADRATIC FORMULA
Classify the discriminant: 0
ONE REAL SOLUTION
Find the Zeros: x^2+4x-5=0
The zeros are1 and -5
Complete the Square: x^2+20x-10=0
x2+20x = 10
x2 + 20x + 102 = 10 + 102
(x+10)2 = 110
x + 10 = +- sqrt 110
x = -10 +- sqrt 110
State the Vertex and the Axis of the Symmetry: y=-3(x+6)^2+2
The Vertex is (-6, 2) The Axis of Symmetry is x-6
Find the discriminant and classify x^2+2x-3=0
16 and TWO REAL SOLUTIONS
Find the zeros: 2x^2-4x-6=0
The zeros are 1 and 3
Solve the Quadratic: (x-3)^2-9=0
x=0,6
Complete the Square: x^2-6x-4=0
x2 - 6x = 4
x2 - 6x + (-3)2 = 4 + (-3)2
(x-3)2 = 13
x-3 = +- sqrt 13
x = 3 +_ sqrt 13
State the Transformations: y= -2(x+7)^2+9
Transformations: left 7, up 9, flips, and stretches by 2
Find the discriminant and classify: 2x^2+5x=7=0
-31 and NO REAL SOLUTIONS
Find the zeros: 6x^2-7x-5=0
The zeros are 1/2 and 5
Solve the Quadratic: (x-5)^2+3=0
x= 5 +or- square root of 3i
Complete the Square: x^2+14x-6=0
x2 + 14x = 6
x2 + 14x + (7)2 = 6 + (7)2
(x+7)2 = 55
x+7 = +- sqrt 55
x = -7 +_ sqrt 55
Find the Zeros: y=x^2-4x-5
The zeros are 5 and -1
Solve using the Quadratic Formula x^2-6x+3=0
X=-(-6)+- sqrt[(6)2-4(1)(3)]/2(1)
= 6+-sqrt[36-12]/2
= 6+- sqrt[24]/2
= 6+- 2sqrt[6]/2
=3+- sqrt 6
Find the zeros: 5x^2+x-4=0
The zeros are -1 and 4/5
Solve the Quadratic: (x-7)^2-5=0
(x-7)2 = 5
x-7 =+- sqrt5
x = 7 +- sqrt5
Complete the Square x^2+8x+4=0
x2 + 8x = -4
x2 +8x + (4)2 = -4 + (4)2
(x+4)2 = 12
x+4 = +- sqrt 12
x = -4 +_2 sqrt 3
GRAPH: y=-2(x+8)^2+6
SEE BOARD
Solve by using the Quadratic Formula 5x^2+x-4=0
X= 1, -4/5
Find the zeros: 2x^2+4x+6=0
The zeros are 1 and -3
Solve the Quadratic: (x+8)^2-10=0
(x+8)2 = 10
x+8 = +- sqrt 10
x = -8 +- sqrt 10
Complete the Square: x^2+12x+36=0
(x+6)2=0
x+6 = 0
x = -6
State that Vertex and the Axis of Symmetry, and then graph: y=4(x-5)^2
The Vertex is (5,2), the Axis of Symmetry is 5 and SEE BOARD FOR GRAPH