Approximating
Approximate √5
~ 2.2 or 2.3
Simplify √32
4√2
Factor the polynomial and determine the solutions: x2+4x-5
x = 1, x = -5
-5x2 = - 500
x = 10, x = -10
Write 4√3 so that it is under one radical
√48
Approximate √11
~ 3.3
Simplify √72
6√2
Factor the polynomial and find the solutions: x2 - 6x + 8
(x - 4) (x - 2)
x = 4, x = 2
Solve by using the square root method:
k2 = 76
Describe the transformation happening:
f(x): -3(x+2)2 + 7
1) reflection over the x-axis
2) vertical stretch by a factor of 3
3) horizontal shift left 2
4) vertical shift up 7
Approximate √80
~ 8.9
Simplify √108
6√3
Factor the polynomial and find the solutions:
2x2 + 6x - 108
x = -9, x = 6
3x2 - 14 = 61
x = 5, x = -5
Graph the following quadratic and list the key features:
2x2 - 4x
2x(x - 2)
x-int: (0,0) (2,0)
A.O.S: x = 1
Vertex: (1, -2)
Approximate √40
~ 6.3
Simplify √45
3√5
Factor the polynomial and find the solutions:
x2 - 4x + 4
(x - 2)2
x = 2
Solve by using the square root method:
(x - 3)2 = 50
x = 10.07 , x = -4.07
Graph the following quadratic and list the key features:
2(x - 1)2 + 4
Vertex: (1, 4)
Y-int: (0, 6)
Point of reflection: (2, 6)
Approximate √32
~ 5.6
Simplify √96
4√6
Factor the polynomial and find the solutions:
5x2 - 30x + 40
5 (x - 2) (x - 4)
x = 2, x = 4
Solve by using the square root method:
(x - 2)2 - 10 = 90
x = 12, x = -8
Graph the following quadratic and list the key features:
3x2 - 6x + 2
1) a:3 b: -6 c: 2
2) A.O.S: x = 1
3) Vertex: (1, -1)
4) Y-int: (0, 2)
5) Point of reflection: (2, 2)