College Algebra & Pre-Calculus --> 1st two weeks review

Solving for x

100

x + 7 = -5

-12

200

5 - x = 14

-9

300

2x + 15 = 29

7

400

5x - 8 = 3x + 2

5

500

2(8 - x) = 3x - 4 

4

Transformations

100

Compared to the graph of y = x², describe the shift that occurs in the graph of y = (x + 4)².

shifts left 4 units

200

Compared to the graph of y = |x|, describe the shift that occurs in the graph of y = |x| + 8.

shifts up 8 units

300

Compared to the graph of y = √x, describe the shift that occurs in the graph of y = -√x.

reflected (flipped) across x-axis

400

Compared to the graph of y = |x|, describe the shifts (2) that occur in the graph of y = |x - 3| - 4.

shifts right 3

shifts down 4

500

Compared to the graph of y = x², describe the shifts (3) that occur in the graph of y = -5(x + 1)².

shifts left 1

reflected across x-axis

stretched

x & y

100

True or False: x is called the independent variable

True

200

You have the equation: y = x² - 7. Find the y-value that corresponds to an x-value of 5.

18

300

You have the equation: y = 4x - 7. Find the x-value that corresponds to a y-value of 1.

2

400

y = 2x - 3

3x + y = 17

x = 4

y = 5

500

4x + 2y = 16

3x - 2y = 5

x = 3

y = 2

Types of Graphs

100

y = x

linear

200

y = x²

quadratic

300

How to test if a graph represents a function

Vertical Line Test

400

y = 2^x

exponential

500

y = 1/x

rational