Question
Write an expression for the function which has a translation by 7 units down of 
Hint:
Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.
The correct answer is: 
An expression for the function which has a translation by 7 units down of
is
.
Hence, the correct option is D.
There are 4 types of transformations vertical stretch, horizontal stretch, horizontal translation and vertical translation.
Related Questions to study
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
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.
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) = -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.
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).
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).
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; 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.
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).