Write an expression for the function which has a translation by 7 units down of 

Find the x-intercept and y-intercept of  .

Here we used the concept of intercepts. The points on a graph where the graph crosses the two axes are known as the intercepts (x-axis and y-axis). The x-coordinate is the location where the graph crosses the x-axis, and the y-coordinate is the location where the graph crosses the y-axis. So the intercepts are x-intercept = – 1; y-intercept = 1

The graph of  is _________ of 

There are 4 types of transformations vertical stretch, horizontal stretch, horizontal translation and vertical translation.

Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = -4Ix – 2I – 1

A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).

Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = (1/3)Ix + 6I – 1

Know how to visualize a graph.

Emma wants to model the sides of a pyramid by using a function that includes an absolute value expression. Emma will place the pyramid on a coordinate grid as shown. What function should she use?

A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).

One part of a dog agility course is an obstacle called an A-frame. Assume that the left corner of the A-frame corresponds to the point (0, 0). What function that includes an absolute value expression could you use to model the obstacle?

A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).

What function g describes the graph of f after the given transformation?
f(x) = IxI; vertically stretched by a factor of 3 and reflected across the x-axis.

Know what the terms vertically stretching and reflection means.

What function g describes the graph of f after the given transformation?
f(x) = IxI; reflected across the x-axis and translated 4 units up.

Read the problem carefully in order to understand the direction of the axes.

Write a function for the graph.

A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).

Find the vertex of the function. f(x) = -Ix + 3.5I + 4

Find the vertex of the function. f(x) = Ix + 0.5I

Find the vertex of the function. f(x) = IxI + 1

The rates for Carolina’s dog boarding service are shown. Carolina plans on increasing the rate for the first hour by $5.

Write the step functions for the cost of boarding a dog before and after the rate increase.

Know how to solve function problems.

For the general function f(x) = aIx – hI + k, what are the two linear functions containing the branches?

Know the absolute function very well.

Consider the function f(x) = 2Ix + 1I – 7.
A linear function containing one branch of the function is f(x) = 2(x + 1) – 7. What linear function contains the other branch?

Know what an absolute function is.