Question
Which of the following functions is the vertical translation of 
.
Hint:
A function that maps the set of nonnegative real numbers onto itself. In geometrical terms, the square root function maps the area of a square to its side length.
The correct answer is:
We have to find the vertical translation of the graph f(x) = √x.
The function is the vertical translation of f (x) = 
.
Hence, the correct option is C.
There are 4 types of transformations vertical stretch, horizontal stretch, horizontal translation and vertical translation.
Related Questions to study
Find the minimum point of the function 
.
The minimum point is also called the minima.
Find the minimum point of the function .
The minimum point is also called the minima.
How does the graph 
compared to the graph of ?
There are 4 types of transformations vertical stretch, horizontal translation, vertical translation and horizontal stretch.
How does the graph compared to the graph of ?
There are 4 types of transformations vertical stretch, horizontal translation, vertical translation and horizontal stretch.
Find the average rate of change of the function 
Average = difference in value of the function at extreme values of the variable divided by the difference in the extreme values of the variable.
Find the average rate of change of the function
Average = difference in value of the function at extreme values of the variable divided by the difference in the extreme values of the variable.
Evaluate 
for the variable x = 3 to the nearest hundredth.
To find the value of a function, we have to put the value of the variable given.
Evaluate for the variable x = 3 to the nearest hundredth.
To find the value of a function, we have to put the value of the variable given.
Write an expression for the function which has a translation by 7 units down of
There are 4 types of transformations vertical stretch, horizontal stretch, horizontal translation and vertical translation.
Write an expression for the function which has a translation by 7 units down of
There are 4 types of transformations vertical stretch, horizontal stretch, horizontal translation and vertical translation.
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).
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).
