subtract
It would be shifted down
The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?
This is called the 'standard form' for the equation of a parabola:y =a (x-h)2+vDepending on whether the constant a is positive or negative, the parabola will open up or down.
It is the same as the original reflected in the line whose equation is y=x. You will get the same effect if you imagine lifting the graph off the paper, and flipping it clockwise through 180 degrees and then putting it down so that the y-axis is where the x-axis was and the x axis is where the y-axis was.
subtract
y=x-2
the graph is moved down 6 units
The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?
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.
To shift the graph of y = 4x + 7 down, you would subtract a constant from the equation. In this case, you would subtract 7 from the equation to shift it downward. The new equation would be y = 4x. This would shift the entire graph downward by 7 units along the y-axis.
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
vertical axis :)
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.
I believe it's a transition.
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.
Yes, always use your clutch for any kind of shifting