Factoring
Quadratics
Vertex Form & Transformations
Quadratic Formula
Find The Parts
100
Solve the following quadratic equation.
(x - 7)(x + 2) = 0
x= __
x=___
x = 7 x = -2
100
y=x2+2x+1
y=x+3
1. Which equation is linear?
2. Which Equation is the quadratic?
y=x2+2x+1. Quad
y=x+3. Linear
100
1) Find the vertex.
2) Write in vertex form.
x2 + 6x +8 = 0
(-3, -1)
y = (x + 3)2- 1
100
What is my: 4x2 - 7x - 15 = 0
a=
b=
c=
a= 4
b= -7
c= -15
100
Find the vertex of f(x)= -x2 + 8x - 15.
is it a max or a min?
(4,1)
max
200
1.Name the factoring method
2.Solve the following quadratic equation by factoring. x2+3x+2 = 0
1. 3am
2. x = -2 x = -1
200
For which interval is the ball's height always decreasing?
1) 0 ≤ x ≤ 2.5 2) 2.5 < x < 5.5
3) 0 < x < 5.5 4) x ≥ 2
2) 2.5 < x < 5.5
200
1) Find the vertex.
2) Write in vertex form:
x2 - 6x = -5
(3, -4)
y= (x - 3)2 - 4
200
Find a, b, c:
x2 - 6x + 5 = 0
a = 1
b = -6
c = 5
200
f(x)=x2 - 2x
1. Find the vertex
2. Find the axis of symmetry
1. (1,-1)
2. x=1
300
Solve the following quadratic equation by factoring.
x2 - 6x + 5 = 0
x = 5 x = 1
300
The expression -4.9t2+50t+2 represents the height, in meters, of a toy rocket t seconds after launch. The initial height of the rocket, in meters, is
1) 0 2) 4.9 3) 2 4) 50
3) 2
300
Desribe the transformation:
y= (x + 5)2 - 9
5 left , 9 down
300
Solve the following quadratic equation by using the quadratic formula in simplest radical form:
2x2- 8x = -1
x = 8 +/- 2 sqr 14
________________
4
300
What is the y-intercept of f(x) = (x – 5)(x + 3)?
-15
400
Solve the following quadratic equation by factoring.
x2 - 6x = 27
x = 9 x = -3
400
What are the solutions to the system of equations:
y=x2+2x+1
y=x+3
(-2,1)
(1,4)
400
Put the following quadratic equation in vertex form AND explain the shifts:: x2 + 10x +16 = 0
1) find vertex, write equation, describe
(-5, -9)
y = (x + 5)2 - 9
5 to the left, 9 down
400
(2)
400
f(x)=-x2 - 4x
1.Vertex?
2.Axis of Symmetry?
3.Solutions?
1. (-2,4)
2. x= -2
3. {0,4}
500
1. Name the factoring method:_____
2. Solve the following quadratic equation by factoring.
x2 + 6x = 0
1. GCF
2. x = 0. x = -6
500
Which equation has the same solutions as
x2 – 4x – 12 = 0?
(x – 4)2 = 12 (3) (x – 2)2 = 12
(x – 4)2 = 16 (4) (x – 2)2 = 16
(4) (x – 2)2 = 16
500
Describe the transformation (3 things happen!)
y= 2(x - 2)2 - 18
Narrower, 2 to the right, 18 down
500
What is rad 72 expressed in simplest radical form?
6 rad 2
500
vertex: Axis of Symmetry: y-int:
(-1,-3)
x = -1
-2