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Parent Graphs
Translation Rules
Functions
Compositions
Matrix
100
y = (x+1)2+3
y = x2
100
Take y = 2x and move it 5 units up
y = 2x + 5
100
f(x) = 1/2(x + 2) + 10 Find f(8)
15
100
Find (f + g)(x) f(x) = 2x g(x) = 5 + 3x
5 + 5x
100

Can you multiply a 2 x 2 and a 2 x 3?

Yes

200
f(x) = lx-3l + 1
f(x) = lxl
200
Number of units to the left: y = 2/3(x + 5) + 6
5
200
g(x) = lx + 2l - 3 Find g(-5)
0
200
Find (fg)(x) f(x) = x + 2 g(x) = 2x + 3
2x2 + 7x + 6
200
Can you add a 2 x 2 and a 2 x 3?
No
300
Linear
y = x
300

Find the starting point: 

y = lx+2l - 3

(-2, -3)

300
k(x) = x + 5 for the interval (-1, 5] Find k(3)
8
300
Find f(g(5)) f(x) = x + x + 3 g(x) = 2x
23
300
How many rows are in a 3 x 8 matrix?
3
400
Cubic
y = x3
400
Take y = x2 and move it to the right 2 units
y = (x - 2)2
400
h(x) = 5x - 2 for the interval (-1, 5] Find h(10)
Does not exist
400
Find f(g(x)) f(x) = 3x g(x) = x + 5
3x + 15
400
You can only find the determinant of this type of matrix?
Square
500
Which parent graph has not been shown in this section?
y = /x
500
If no translations take place, all graphs should start at _____
(0, 0)
500
A problem states that you need to graph f(x) = 2x for the interval (2, 8]. At which point will you have a hole (an open point)?
(2, 4)
500
If f(g(x)) = 10, find x f(x) = x + 5 g(x) = 2x + 1
x = 2
500
Give an example of 2 matrices (A and B) such that AB is not possible, and BA is possible.
Example: A = 1 x 2 B = 3 x 1