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What must be true about the coefficient of a linear function if that function experiences a vertical stretch of the parent function?
For a linear function to experience a vertical stretch of the parent function ( f(x) = mx + b ), the coefficient ( m ) (the slope) must be greater than 1. A vertical stretch means that the output values of the function are scaled up, making the graph steeper compared to the original. Thus, if the original function has a slope ( m ), the transformed function will have a slope of ( k \cdot m ) where ( k > 1 ).
What else can I help you with?
What is vertical stretch?
A vertical stretch is a transformation applied to a function that increases the distance between points on the graph and the x-axis. This is achieved by multiplying the function's output values by a factor greater than one. For example, if the function ( f(x) ) is transformed to ( k \cdot f(x) ) (where ( k > 1 )), the graph is stretched vertically, making it appear taller and narrower. This transformation affects the amplitude of periodic functions and alters the steepness of linear functions.
What are the following functions state the vertex and what transformations on the parent function are needed to make the graph of the given function?
To determine the vertex and transformations of a given function, we first need the specific function itself. For example, if the function is in the form (f(x) = a(x-h)^2 + k), the vertex is ((h, k)). The transformations from the parent function (f(x) = x^2) would include a vertical stretch/compression by factor (a), a horizontal shift (h) units, and a vertical shift (k) units. If you provide the specific function, I can give a more detailed answer.
The exponential function f(x) 2x undergoes two transformations to g(x) 5 and acirc and 128 and cent 2x and acirc and 128 and 147 3. How does the graph change Select all that apply.?
The function ( f(x) = 2^x ) is transformed to ( g(x) = 5 \cdot 2^{x - 3} + 8 ). The transformations include a vertical stretch by a factor of 5, a horizontal shift to the right by 3 units, and a vertical shift upwards by 8 units. This results in the graph being stretched taller, moved right, and shifted upward.
How many syllables does stretch have?
Stretch has one syllable.
What is standard deviation stretch?
The standard deviation stretch is used to stretch the output values using a normal distribution. The result of this stretch is similar to what is seen by the human eye.
Is a vertical stretch the same as a vertical shrink?
no they are different
What is vertical stretch and horizontal stretch?
They are transformations of plane graphs.
What is the difference between vertical stretch and horizontal stretch goal?
Vertical stretch goals are stretch goals which are imposed on people to make animprovement on their Current work.Horizontal stretch goals are stretch goals which challange people to do Work they have never done.
Explain the function of stretch receptors in regulating breathing?
The function of the stretch receptors in regulating breathing is to reduce the respiratory rate.
What happens when you stretch your ears out?
by experiences , they go back to normal (:
What variable in a quadratic function causes the function to transform reflect or have a vertical stretch or shrink?
The wording is confusing, as a quadratic function is normally a function of one variable. If you mean the graph of y = f(x) where f is a quadratic function, then changes to the variable y will do some of those things. The transformation y --> -y will reflect the graph about the x-axis. The transformation y --> Ay (where A is real number) will cause the graph to stretch or shrink vertically. The transformation y --> y+A will translate it up or down.
What are the following functions state the vertex and what transformations on the parent function are needed to make the graph of the given function?
To determine the vertex and transformations of a given function, we first need the specific function itself. For example, if the function is in the form (f(x) = a(x-h)^2 + k), the vertex is ((h, k)). The transformations from the parent function (f(x) = x^2) would include a vertical stretch/compression by factor (a), a horizontal shift (h) units, and a vertical shift (k) units. If you provide the specific function, I can give a more detailed answer.
How do you write equation for vertical stretch of factor 6 for yx?
It would be y = 6x.
What is distensibility function in the human body?
Stretch and expand
A mass of 1.7kg caused a vertical spring to scretch 6m what's the spring constant?
A mass of 1.7kg caused a vertical spring to stretch 6m so the spring constant is 2.78.
What function would you need to move two graphics together?
stretch
How do you figure out if a parabola is stretched or shrunk?
Assuming the parabola is of the form y = ax^2 + bx + c or y= a(x-h)^2 - k, you look to the 'a' coefficient to determine whether the parabola has undergone a vertical "stretch" or "shrink." If a>1, then it's a stretch. If 0<a<1, then it's a shrink. If, by the way, the a is negative, this test still works... just ignore the negative sign. So if for example a = -2/3, it's a shrink, but if a = -3 it's a stretch. (Incidentally, the negative sign makes the parabola "reflect" over the x-axis.)
