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vertical translations

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Q: Shifting the graph of an equation up or down is called?
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To shift the graph of an equation a certain number of units down you need to that number to from the functions equation?

subtract


What is the equation to 2 units down of the graph of y equals x?

y=x-2


What is the effect on the graph of the equation y equals x2 plus 2 when it is changed to y equals x2 - 4?

the graph is moved down 6 units


Which is the exponential form of log 8 x equals 3?

The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?


How do you shift a sine wave up or down?

To shift a sine wave up or down, you can simply add or subtract a constant value from the function. Shifting up involves adding a positive constant, while shifting down involves subtracting a positive constant. This constant value determines the amount of vertical shift.


If you wanted to shift the graph of y 4x plus 7 down which equation could you use apex?

y = 4x + 3


When you shift the graph of an equation up or down does every instance of x in the equation change?

Yes, for example if you have y=x but you shifted the equation up 3 units hence: y=x+3. than you will receive a different y from every instance (point) of x. Reference: collegemathhelper.com/2015/11/horizontal-graph-transformations-for.html


What is the graph line called that runs up and down?

vertical axis :)


What does increasing the constant c by 4 units in an equation of the form y ax2 c do to its graph?

I'm guessing that your equation is y = ax² + c (as there are limitations as to what punctuation, including mathematical symbols, can be put in a question). Increasing c by 4 units shifts the graph 4 units up the y-axis. If you equation was y = ax² - c, then increasing c by 4 units shifts the graph 4 units down the y-axis.


What is the name for a slide to the left or right up or down on a graph called?

I believe it's a transition.


How do vertical transformations differ from horizontal transformations?

Vertical transformations involve shifting the graph up or down, affecting the y-values, while horizontal transformations involve shifting the graph left or right, affecting the x-values. Vertical transformations are usually represented by adding or subtracting a value outside of the function, while horizontal transformations are represented by adding or subtracting a value inside the function.


What is the geometric significant of k in equation yx3 k?

This equation yx3 k is that of a parabola. The variable h and k represent the coordinents of the vertex. The geometrical value k serves to move the graph of the parabola up or down along the line.