Question
Describe how the transformation of the graph of 
compares with the graph of 
.
- Vertical stretch
- Vertical compression
- Horizontal stretch
- Horizontal compression
Hint:
Change in the constant with same slopes is considered as a horizontal stretch.
The correct answer is: Horizontal stretch
>>>>We can apply horizontal stretch to a function by multiplying its input values by a scale factor, a, where 0 < 1/a < 1. What does this mean for functions such as f(x)? When 1/a is multiplied to x, f(x)’s graph stretches horizontally by a scale factor of a.
Given 
where 
So, the transformation of the function is a horizontal stretch
The given function function finally becomes 0.2f(x) which is reduced from the given function.
>>>>It is said to be Horizontal stretch.
Related Questions to study
Write the equation of the transformed function 
when the function is vertically stretch by a scale factor of 6.
The function becomes 3x + 18 after vertical stretch.
Write the equation of the transformed function when the function is vertically stretch by a scale factor of 6.
The function becomes 3x + 18 after vertical stretch.
The graph of 
is a ______ of 
Adding or subtracting a constant k to an input of the function translates the graph horizontally by k units.
The graph of is a ______ of
Adding or subtracting a constant k to an input of the function translates the graph horizontally by k units.
Let 
. Suppose you multiply 3 to the input of the f to create the new function g. Write the equation that represents g?
By Substituting 3x in place of x gives 3x-2.
Let . Suppose you multiply 3 to the input of the f to create the new function g. Write the equation that represents g?
By Substituting 3x in place of x gives 3x-2.
Describe how the value of k affect the slope of the graph of 
compared to graph of 
.
The slopes of the given functions is 2.
>>>Therefore, the slopes of the both equations are same.
Describe how the value of k affect the slope of the graph of compared to graph of .
The slopes of the given functions is 2.
>>>Therefore, the slopes of the both equations are same.
Let 
. Suppose you subtract 3 from the input of the f to create the new function g. Write the equation that represents g?
Horizontal stretch just change the constant of the function.
Putting x-3 in place of x gives 3x-11.
Let . Suppose you subtract 3 from the input of the f to create the new function g. Write the equation that represents g?
Horizontal stretch just change the constant of the function.
Putting x-3 in place of x gives 3x-11.
Let 
. How does the graph of 
compare with the graph of f?
The Horizontal Stretch is the variation of the function that stretches the function by multiplying the independent variables with the inverse of the coefficient of the function.
>>>Therefore, we can say that the given function is Horizontally stretched.
Let . How does the graph of compare with the graph of f?
The Horizontal Stretch is the variation of the function that stretches the function by multiplying the independent variables with the inverse of the coefficient of the function.
>>>Therefore, we can say that the given function is Horizontally stretched.
Let 
. How does the graph of 
compare with the graph of f ?
Horizontal translation is the function variation that relates the properties of a function and shifts a function to horizontally to obtain the other function.
Let . How does the graph of compare with the graph of f ?
Horizontal translation is the function variation that relates the properties of a function and shifts a function to horizontally to obtain the other function.
The graph of 
is a _________ of 
when 0 < k < 1.
Multiplying the output of a linear function f by k scales its graph vertically.
So, when 0 < k < 1 the transformed graph is a vertical compression.
The graph of is a _________ of when 0 < k < 1.
Multiplying the output of a linear function f by k scales its graph vertically.
So, when 0 < k < 1 the transformed graph is a vertical compression.
Describe how the function 
compares with the graph of the function 
f(x) = 5x+3 and g(x) = 5(x-2)+3
>>>Then, By comparing the terms of equations there is exactly 2 units shift of g(x) to right to reach f(x).
Describe how the function compares with the graph of the function
f(x) = 5x+3 and g(x) = 5(x-2)+3
>>>Then, By comparing the terms of equations there is exactly 2 units shift of g(x) to right to reach f(x).
Describe how the graph of the function 
compares with the graph of the function 
Vertical stretch is a type of compression of the functions with the independent variable.
Describe how the graph of the function compares with the graph of the function
Vertical stretch is a type of compression of the functions with the independent variable.
The two points on the graph are given by the function 
.
Identify the two points on the graph.
The two points on the graph are given by the function .
Identify the two points on the graph.
The pollution level in the centre of a city at 6 am is 30 ppm (parts per million) and it grows in a linear fashion by 25 ppm (parts per million) every hour. If y is pollution and t is the time elapsed after 6 am, then determine the function that relates y with t .
The pollution level in the centre of a city at 6 am is 30 ppm (parts per million) and it grows in a linear fashion by 25 ppm (parts per million) every hour. If y is pollution and t is the time elapsed after 6 am, then determine the function that relates y with t .
A car rental charge is 100 dollars per day plus 0.30 dollars per miles traveled. Determine the function of the line that represents the daily cost by the number of miles traveled.
For such questions, we should know about the concept of function.
A car rental charge is 100 dollars per day plus 0.30 dollars per miles traveled. Determine the function of the line that represents the daily cost by the number of miles traveled.
For such questions, we should know about the concept of function.
Evaluate the function 
For such questions, we should know the concept of the function.
Evaluate the function
For such questions, we should know the concept of the function.
Identify the function that is linear.
For such questions, we should know the concept of linear functions.
Identify the function that is linear.
For such questions, we should know the concept of linear functions.
