Question
The graph of 
is a _____________ of 
when k > 1.
- Horizontal stretch
- Horizontal compression
- Vertical compression
- Vertical stretch
Hint:
General synopsis of Vertical stretch.
The correct answer is: Vertical stretch
Given That:
The graph of is a _____________ of when k > 1.
>>>The functions f(x) and g(x) are related by some factor k.
>>>When the function is multiplied by some factor, then the output function has the impact on the slope and the intercepts by that factor.
>>This is called as a vertical Stretch.
Multiplying the output of a linear function f by k scales its graph vertically.
So, when k > 1 the transformed graph is a vertical stretch.
Related Questions to study
Find the value of k for each function g.
For a given 
, the graph of the function g is the function f translates k units vertically.
The function of the graph g is translated 3 units up compared to the graph of f.
So, the value of k = 3.
Find the value of k for each function g.
For a given , the graph of the function g is the function f translates k units vertically.
The function of the graph g is translated 3 units up compared to the graph of f.
So, the value of k = 3.
Which of the following describes the difference between the graph of f and the graph of the output of f multiplied by 2?
From the question it is clear that 
.
So, both the slope and y - intercept change by a factor of 2.
Which of the following describes the difference between the graph of f and the graph of the output of f multiplied by 2?
From the question it is clear that .
So, both the slope and y - intercept change by a factor of 2.
Describe the transformation of the function 
that makes the slope 1 and the y - intercept 2.
Describe the transformation of the function that makes the slope 1 and the y - intercept 2.
The cost of renting a landscaping tractor is a $150 security deposit plus the hourly rate is $30/hour. Write the function f that represents the cost of renting the tractor.
The security deposit is constant that is 150 dollars and the total cost for the tractor is 30x.
>>>Then, the functional representation of the given data is 150 + 30x.
The cost of renting a landscaping tractor is a $150 security deposit plus the hourly rate is $30/hour. Write the function f that represents the cost of renting the tractor.
The security deposit is constant that is 150 dollars and the total cost for the tractor is 30x.
>>>Then, the functional representation of the given data is 150 + 30x.
Describe how the transformation of the graph of 
compares with the graph of 
.
The given function function finally becomes 0.2f(x) which is reduced from the given function.
>>>>It is said to be Horizontal stretch.
Describe how the transformation of the graph of compares with the graph of .
The given function function finally becomes 0.2f(x) which is reduced from the given function.
>>>>It is said to be Horizontal 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.
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.
