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If you shift the linear parent function f(x) x down 6 units what is the equation of the new function?
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What impact does the vertical shift have on the range of a function?
None.
Is x2 plus 8 a function?
x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.
How do you write y equals 4cos1over2x as a horizontal shift of the other function?
You cannot since the transformation is not a horizontal shift.
How do you convert a sine curve function to a cosine curve function?
One way is to shift it to the left by a quarter of the period.
What can shift a quadratic graph horizontally?
If the equation is a(x-n)2+c, c causes the vertical shift. By setting the part in parenthesis, x-n, equal to 0, you can find the horizontal shift (x-n=0). I hope this helped :)
If you vertically shift the linear parent function F(x) x up 2 units then horizontally compress it by multiplying by 7 what is the equation of the new function G(x)?
14
To shift the graph of an equation a certain number of units up you need to that number to from the function's equation?
Add
If you shift the quadratic parent function f(x) x2 left 12 units what is the equation of the new function?
f(x) = (x + 12)2
How can transformations alter the graph of a parent function?
OK, so let's call the parent function you're given f(x). There's a series of transformations a parent function can go through:-f(x) = makes the parent function reflect over the x-axisOn the other hand, f(-x) = makes it reflect over the y-axisf(x+a) = makes the parent function shift a units to the leftf(x-a) = makes the parent function shift a units to the rightf(x)+a = makes the parent function shift a units upf(x)-a = makes the parent function shift a units downf(ax) if x is a fraction like 1/2 , makes the parent function stretch by a factor of 2 (or multiply each x by 2)f(ax) if x is a whole number (or fractions greater or equal to 1) like 2, makes the parent function compress by a factor of 2 (or divide each x by 2)a*f(x) if x is a fraction like 1/2, makes the parent function get shorter by a factor of 2 (or divide each y by 2)a*f(x) if x is a whole number (or fractions greater or equal to 1) like 2, makes the parent function get taller by a factor of 2 (or multiply each y by 2)One way you can always tell what to do is that everything that is INSIDE the parentheses will be the OPPOSITE of what you think it should do. OUTSIDE the parentheses will do EXACTLY what you think it should do.And when performing the transformations, start inside the parentheses first and then move outside. For example, f(x-2)+2; move the parent function first to the right 2 units and THEN move it up 2 units.
How does changing the constant affect a graph?
Changing the constant in a function will shift the graph vertically but will not change the shape of the graph. For example, in a linear function, changing the constant term will only move the line up or down. In a quadratic function, changing the constant term will shift the parabola up or down.
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 sources shift production function?
s shift in production function
The keyboard shortcut for the Insert Function is?
[shift] + [F3]
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).
When you shift the graph of an equation left or right every instance of x in the equation stays the same?
FALSE
To shift the graph of an equation a certain number of units down you need to that number to from the functions equation?
subtract
How would you explain phase shift oscilater?
A phase-shift oscillator is a linear electronic oscillator circuit that produces a sine wave output.
