Warmup Get a calculator Graph and label each

Warm-up: Get a calculator. Graph and label each function on separate axii. Get a table of at least 6 values for each graph. Identify the major characteristics of each graph.

Homework:

STANDARD 2. 1: graph parent functions and perform transformations to them (3 -2) In this section we will… Identify the graphs of some simple functions. Recognize and perform transformations of simple graphs. Sketch graphs of related functions.

Families of Graphs: Any function based on a simple function will have the basic “look” of that family. Multiplying, dividing, adding or subtracting from the function may move it, shrink it or stretch it but won’t change its basic shape.

Example:

Negatives and functions… Let’s sketch the parent first… Multiply a negative outside…sketch it. Multiply a negative inside…sketch it

Reflections

Adding and Subtracting, Part 1 Outside the operator

Vertical Translations

Adding and Subtracting, Part 2 Inside the operator

Horizontal Translations

Multiplying, Part 1

Vertical Dilations

Multiplying, Part 2

Horizontal Dilations

Let’s do some with partners… Each partnership needs a whiteboard with a graph, a pen and an eraser.

Write the function… Whose parent is , has a horizontal stretch of 3 and is translated 5 up.

Write the function… Whose parent is and is translated 3 units to the left and reflected over the x-axis.

STANDARD 2. 1: graph parent functions and perform transformations to them (3 -3) In this section we will… Use function families to graph inequalities.

So… how do I graph this?

Homework: HW 1 2. 1: P 143 #13 -29 odd, 33 HW 2 2. 1: P 150 #21 -31 odd