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.
![](data:image/png;base64,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)
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.
![](data:image/png;base64,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)
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 ![f left parenthesis x right parenthesis equals negative 7 x minus 1](data:image/png;base64,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)
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 ![f left parenthesis x right parenthesis equals negative 7 x minus 1](data:image/png;base64,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)
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 left parenthesis x right parenthesis equals 5 x plus 3](data:image/png;base64,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)
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 left parenthesis x right parenthesis equals 5 x plus 3](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF4AAAARCAYAAABU3BvXAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAjlJREFUeNpjYCANZAFxB4l6OqD6RgERgAmIxdHE9ID4OJnmHYXqHwV4gAcQv4PiK0DMghR4BmSaaQzEh2ng1v948EACRyDeBsTfgPgHEN8C4glALIxLAyiQnyIFsBaUNoAGPCXgMDQCqB3wgxHsB+IgIGZDEgOF4Q5cGkCKl2MR7wLiHAodk0dG/TDYAp5S+z7hkqgH4nIs4qCYssUinowjMJuhcsjAEoj3DmBAkOJWWgS8EhDfwCaxDq2MjESLKTYcBp5Dq4gTgXgKFnVseGL8PxGYGgFBrFupGfDiUHtA5bwXLkWgGJHFIv6HQGXcB2W7EEjVv2iQ4n9BIxRUmRUBMQ+V3EppwKMnnAJ8TchvOOT+ELBkNxDbA/EFfDU3DQIeuVEAqrhroYlHgwpupSQnIgNBIA4A4pNQezGAObQ2xlUpsOExvAAaqPja6rQoarABNyA+SKFbaVHG80ADHwOAyvT5eFKJNQ45kPgaaBaOxGMxLSpXXOAHhW6lVasGq7smAXEaDg24mpOgmnoTEHNBY/QMnuybAzWH1kAHiO9S6FZaBLwetILF2qrBVeti60CJQis0ZMf7APFiOnag1kFzEhMUe0ADPYhCt1Ia8KCiLhRa9zBBe7L3gTgem2LQEAEHHsOOI5WLbFBPS2NRtxwaAPQYMgiFpqI/UPevAmJTLHULKW6lBgD1ebZAi5Yf0LrTB5tCUIp4TkRWGR0koyKYAG2CEdOdzyCj29+Fp+4Y0cAYS5k4CmgMAB4mqYzM/ZqoAAAAmXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5mPC9taT48bW8+KDwvbW8+PG1pPng8L21pPjxtbz4pPC9tbz48bW8+PTwvbW8+PG1uPjU8L21uPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjM8L21uPjwvbWF0aD4dcTWoAAAAAElFTkSuQmCC)
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 ![f left parenthesis x right parenthesis equals x minus 1](data:image/png;base64,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)
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 ![f left parenthesis x right parenthesis equals x minus 1](data:image/png;base64,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)
Vertical stretch is a type of compression of the functions with the independent variable.