Algebra 2 Cheat Sheets! (shhhhhh….)

Algebra 2 Cheat Sheets! (shhhhhh....)

Graphing Absolute Value equations (Cheat Sheet)

Steps: 1: set inside = to zero. 2: solve for x. 3: create a table with the found x value in the middle. 4: Plug x back into the equation to find y. (This is the vertex coordinate.) 5: choose 2 more x values, one on either side of the x you found. 6: Find y values. 7: Graph 3 points.

Example: Graph y = |x + 5| (Absolute Value)

1: x + 5 = 0

3:

4:

2: x = -5

5:

6:

7: Plot and connect.

Graphing Quadratics (Cheat Sheet)

Steps: 1: set inside = to zero. 2: solve for x. 3: create a table with the found x value in the middle.* 4: Plug x back into the equation to find y. (This is the vertex coordinate.) 5: choose 2 more x values, one on either side of the x you found. 6: Find y values. 7: Choose 1 more x value and find its y value. 8: Plot all 4 points. 9: Use symmetry to find a 5th point.

*Note here that our table has more than 3 rows. This is because quadratics, unlike absolute value equations, do not grow linearly in each direction.

Example: Graph y = (x - 1)2 - 2

(Quadratic)

1: x - 1 = 0 3:

4:

5:

2: x = 1

6:

7:

8:

9:

Graphing Radicals (square roots) Cheat Sheet

Perfect Squares: 0 1 4 9

Example: Graph

Step 1: Make a table:

x y

+ 3 (radical)

Step 2: Set "inside" (x ? 5) expression equal to each Perfect Square number above....

x ? 5 = 0

x ? 5 = 1

x ? 5 = 4

x ? 5 = 9

... and solve for each x.

x = 5

x = 6

x = 9

x = 14

Step 3: Fill in your table with the x values you just found:

x y 5 6 9 14

Step 4: Find the y values (plug back in). Step 5: Plot points and connect.

x y 5 3 6 4 9 5 14 6

How to graph parabolas, radicals and absolute value on the calculator

Function

How to graph on the calculator

Graph

Parabola

Y = x2 + x - 2

Y = XTN ^ 2 + XTN ? 2 GRAPH

Radical

Y =

- 2

Y = 2nd x2 XTN + 3 ) ? 2 GRAPH

Absolute Value

Y = |x + 2| - 4

Y = MATH NUM 1:abs( ENTER XTN + 2 ) ? 4 GRAPH

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