Question
A student graph 
. On the same grid, he/she graphs the function g which is a transformation of f made by multiplying 
to the output of f. Write the equation of the transformed graph.
Hint:
Transform the given function by 1/4 times to obtain the required function.
The correct answer is:
Given That:
A student graph . On the same grid, he/she graphs the function g which is a transformation of f made by multiplying to the output of f. Write the equation of the transformed graph.
>>>The given function f(x)= -2x+8 is transformed by multiplying by 1/4. Then:
-> f() = -2x()+8
f'(x) = -
x+8
>>>Therefore, the function f(x) becomes -x/2 + 8.
Given 
So,
Related Questions to study
Which line fits the data graph below?
Which line fits the data graph below?
A student graph 
. On the same grid, he/she graphs the function g which is a transformation of f made by subtracting 4 from the input of f. Write the equation of the transformed graph.
Given 
So,
A student graph . On the same grid, he/she graphs the function g which is a transformation of f made by subtracting 4 from the input of f. Write the equation of the transformed graph.
Given
So,
The minimum wage for employees of a company is modeled by the function 
. The company decided to offer a signing bonus of $50. Write the function of g that models the new wage for employees of a company.
The minimum wage for employees of a company is modeled by the function . The company decided to offer a signing bonus of $50. Write the function of g that models the new wage for employees of a company.
The graph of g describes as a _____________ of the graph of f.
Given 
and
So, the graph of the function g is the function f translates k units horizontally.
The graph of g describes as a _____________ of the graph of f.
Given and
So, the graph of the function g is the function f translates k units horizontally.
The graph of 
is a _____________ of 
when k > 1.
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.
The graph of is a _____________ of when k > 1.
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.
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.
