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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.


What is the equation for cubic reflected over the x axis and vertical shift down 2?

A cubic function can be expressed in the form ( f(x) = ax^3 + bx^2 + cx + d ). To reflect this function over the x-axis, you negate it, resulting in ( f(x) = -ax^3 - bx^2 - cx - d ). To apply a vertical shift down by 2, you subtract 2 from the entire function, leading to the final equation: ( f(x) = -ax^3 - bx^2 - cx - (d + 2) ).


What is the algerbraic definition of vertical translation?

A shift in which a plane figure moves vertically.


What is the phase shift for sin 2pi plus pi?

Assuming you mean that the pi is not within the sin(2pi), its a vertical shift of +pi


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.

Related Questions

What is a vertical shift?

A vertical shift is the vertical motion of a function on a graph through manipulation of the y-coordinates, while simultaneously leaving the x-coordinates unchanged. A horizontal shift is the opposite of a vertical shift, in that the function is moving horizontally by manipulating the x-coordinates and leaving the y-coordinates unchanged.


What is the term called when you shift a fuction?

When you shift a function horizontally or vertically without changing its shape or orientation, it is called a translation. This can be done by adding or subtracting a constant to the function's input (horizontal shift) or output (vertical shift).


Write an equation of the cosine function with amplitude two thirds period 1.8 phase shift -5.2 and vertical shift 3.9?

y=2/3cos(1.8b-5.2)+3.9


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.


What sources shift production function?

s shift in production function


A vertical shift is an example of a non rigid transformation?

yes


What is the trig function of sin with a period of pi an amplitude of 1 and a vertical shift up of 1?

If this is a homework question, please consider trying to answer it on your own first, otherwise the value of reinforcement of the lesson will be lost on you. To determine the trigonometry function of sin, with a period of pi, and amplitude of 1, and a vertical shift of +1, start simple and expand. The period of sin(x) is 2 pi, so to halve that period you need sin(2x). The amplitude of sin(2x) is 2, so to halve that amplitude you need 1/2 sin(2x). To shift any function up by 1, simply add 1 to it, so the final answer is 1/2 sin(2x) + 1. Note: This is very simple when you take it step by step.


The keyboard shortcut for the Insert Function is?

[shift] + [F3]


What is the algerbraic definition of vertical translation?

A shift in which a plane figure moves vertically.


What is the phase shift for sin 2pi plus pi?

Assuming you mean that the pi is not within the sin(2pi), its a vertical shift of +pi


What are the coordinates for (2-1) vertical shift 2 units up and horizontal shift 6 units down?

You cannot have a horizontal shift in the down direction: a horizontal shift must be left or right!


What is the function of the performance shift button?

Makes the tranny shift at higher rpms when activated.