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To shift a graph upward, you add a constant value to the function's output. For example, if you have a function ( f(x) ) and you want to shift its graph up by 3 units, you would change the function to ( f(x) + 3 ). This operation increases the y-coordinates of all points on the graph, effectively moving the entire graph up without changing its shape.

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1mo ago

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Related Questions

When you shift a function you are it?

When you shift a function, you are essentially translating its graph either horizontally or vertically. A horizontal shift alters the input values, moving the graph left or right, while a vertical shift changes the output values, moving the graph up or down. This transformation maintains the shape of the graph but changes its position in the coordinate plane. Shifting does not affect the function's overall behavior or characteristics, such as its domain and range.


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.


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


How shift x graph up?

To shift a graph of a function ( f(x) ) upward by ( k ) units, you simply add ( k ) to the function. The new function becomes ( f(x) + k ). For example, if the original function is ( f(x) = x^2 ) and you want to shift it up by 3 units, the new function would be ( f(x) + 3 = x^2 + 3 ). This transformation moves every point on the graph up by the specified amount.


What is the significance of a shift to the left in a graph or data set?

A shift to the left in a graph or data set indicates a decrease or a negative change in the values being represented. It can signify a decrease in a variable or a shift towards lower values.


What is the transformation of the graph of y equals x2 to obtain the graph of y equals -x2 plus 3?

First, reflect the graph of y = x² in the x-axis (line y = 0) to obtain the graph of y = -x²; then second, shift it 3 units up to obtain the graph of y = -x² + 3.


What is a shift to the left and how does it impact data in a graph or chart?

A shift to the left in a graph or chart means that the data values are decreasing or becoming smaller. This shift can indicate a decrease in a certain variable or a negative trend in the data being represented.


What describes how to translate the graph y x to obtain the graph of y x - 6?

To translate the graph y = x to the graph of y = x - 6, shift the graph of y = x down 6 units.


How can one determine the phase constant from a graph?

To determine the phase constant from a graph, identify the horizontal shift of the graph compared to the original function. The phase constant is the amount the graph is shifted horizontally.


What happens to the graph of y equals x when the equation changes to y equals x 9?

The line y = x will shift up when you add a value to x and shift down when you subtract a value from x.


What changes can be made to a quadratic function to shift the graph horizontally?

A translation.


Is f(x) shifted downward a units?

To shift a funcion (or its graph) down "a" units, you subtract "a" from the function. For example, x squared gives you a certain graph; "x squared minus a" will give you the same graph, but shifted down "a" units. Similarly, you can shift a graph upwards "a" units, by adding "a" to the function.