Vocabulary
Reflection of an object
Image
Reflect (-4, -4) over the x axis
(-4, 4)
What are the factors of 16?
1,2,4,8,16
subtracting
Solve for each unknown x2 + 7x + 12 = 0
Factors: 1,2,3,4,6,12
(x+4) (x+3)
The line halfway between an object and its reflected image
Line of reflection
Reflect (2, 30) over the Y axis
( -2, 30)
Example: 16, 25, 36
square numbers
What do you do if you are told to move a point 0 units to the right?
The point does not move
Solve for each unknown n2 + 9n + 14 = 0
Factors: 1,2,7,14
(n+7) (n+2)
Reflection line of an object for which the object coincides with the image
Line of symmetry
Which axis is horizontal?
X
What are the factors of 1?
1
Slide the point 3 units to the left and 2 units up (-3, -6)
(-6, -4)
Solve for the unknown: a2 - 6a + 8 = 0
Factors: 1,2,4,8
(a-2) (a-4)
Transformation in which a geometric figure slides from one location to another without affecting its size or shape
Translation
Reflect over the Y- axis: (3,2) (5,2) (3, -1)
(-3,2) (-5,2) (-3,-1)
What are the factors of 48?
1,2,3,4,6,8,12,16,24,48
slide each triangle 4 units to the right and 2 units up
A (-7,3) B (-2,1) C (4,6)
A (-3, 5) B (2,3) C (8,8)
Solve for the unknown: x2+25x+100
Factors: 1,2,4,5,10,20,25,50,100
(x+20) (x+5)
An equation in which the highest power of the variable is the second power
Quadratic equation
Reflex over the x- axis: (1,5) (5,5) (4,3)
(1,-5) (5, -5) (4,-3)
What are the factors of 80?
1,2,4,5,8,10,16,20,40,80
What is the formula for a translation?
P' = (x + a, y + b)
Solve for the unknown: x2-14x+45=0
Factors: 1,3,5,9,15,45
(x-5) (x-9)
*F.O.I.L* to check your answer