Factoring
Solve the following quadratic equation by using square roots: x^2 = 4
x = 2, -2
Change to vertex form:
x2+6x-72=0
(x+3)2-81=0
What is the quadratic formula?
x = -b +- sqrt(b^2 - 4ac)/ 2a
What is the Discriminate?
b^2-4ac
Solve the following quadratic equation by using square roots: x^2 = 121
+11 or -11
Change to vertex form:
x2+12x-64=0
(x+6)2-100
y2+10y+22=0
-5 +/- square root of 3
Describe how y=-(x-1)2-1 is different from y=x2
reflected over x axis
shifts down 1
shifts right 1
opens up
Solve by factoring. x^2 - 6x + 5 = 0
x = 5,1
Solve by using square roots: 4x^2 = 400
x = 10, -10
Change to vertex form and state the vertex:
x2-14x+45
(x-7)2-4
(7,-4)
Solve by using the quadratic formula: x^2 - 9x + 20 = 0
x = 5, 4
Find the Discriminate and type of solutions. -3x^2 - x -12 = -7
Discriminate: -59 2 real solutions
Solve the following quadratic equation by factoring. x^2 - 6x - 27 = 0
x = -3, 9
Solve by using square roots: x^2 + 9 = 21
2 square root 3 or -2 square root 3
Change to vertex form:
4n2-16n+15
4(n-2)2-1
Solve by using the quadratic formula: 2x^2 + 9x + 4 = 0
x = -1/2, -4
Graph y=x2-4x+4
vertex (2,0)
y=(x-2)2
Solve the following quadratic equation by using square roots: 5x^2 + 3 = 128
x = 5, -5
Change to vertex form:
2x2-5x=3=0
(x-5/4)2=1/16
Solve the following quadratic equation by using the quadratic formula: 4x^2 - 17x - 15 = 0
x = 5, -3/4
Find the Discriminate and type of solutions. -20a^2 +9a -3 = 13a -7a^2
Discriminate: -140 2 imaginary solutions