Show:
Equations of Circles
Vertex Form of Quadratics
Solving Quadratics by Factoring
Solving Quadratics by Quadratic Formula
Miscellaneous
100
Center and radius of circle: (x-2)^2+(y+1)^2=16
Center: (2,-1) Radius: 4
100
This is the vertex form of a quadratic equation (standard form)
y=a(x-h)^2+k
100
Solve by factoring: x^2-11x+24=0
x=3 x=8
100
Solve using quadratic formula: x^2-4x+4=0
x=2
100
Find the GCF of these 3 numbers: 30 66 78
6
200
Center and radius of circle: x^2+(y+3)^2=14
Center: (0,3) Radius: 3.74
200
The vertex and the direction of opening of the parabola: y=-2(x-1)^2+7
vertex: (1,7) opens down
200
Solve by factoring: x^2+7x+10=0
x=-5 x=-2
200
Solve by quadratic formula: 2x^2+2x-12=0
x=2 x=-3
200
Draw an example of a graph of an absolute value function
(v-shaped graph)
300
Equation of circle with center at (13,-13) and radius of 4
(x-13)^2+(y+13)^2=16
300
The vertex form of the parabola: y=x^2-2x-5
y=(x-1)^2-6
300
x^2+3x-12=6
x=3 x=-6
300
Solve by quadratic formula: 2x^2+3x=20
x=5/2 x=-4
300
Solve for x: -(1+7x)-6(-7-x)=36
x=5
400
Center and radius of circle: x^2+y^2+4x-2y-20=0
Center: (-2,1) Radius: 5
400
The vertex form of the parabola: y=4x^2+8x-5
y=4(x+1)^2-9
400
Solve by factoring: 6x^2-18x-18=6
x=4 x=-1
400
Solve using quadratic formula: 4x^2+8x+7=4
x=-1/2 x=-3/2
400
Solve the system of equations: y=-3x+5 5x-4y=-3
x=1 y=2
500
Center and radius of circle: 9=2y-y^2-6x-x^2
Center: (-3,1) Radius: 1
500
Vertex form of the parabola: y=-6x^2-12x-13
y=-6(x+1)^2-7
500
Solve by factoring: x^2+5x-35=3x
x=-7 x=5
500
Solve using quadratic formula: 4x+2=-3x^2
no solution
500
State what transformations have taken place: y=x^2 y=3(x-9)^2+5
gets smaller/skinnier moves right 9 moves up 5