vertical translations
subtract
The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?
It would be shifted down
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
A parabola shifts vertically (up or down) when the constant term in its equation changes; for example, in the equation (y = ax^2 + bx + c), increasing (c) shifts the graph up, while decreasing it shifts it down. Horizontal shifts occur when the (x) variable is modified; for instance, in (y = a(x-h)^2 + k), changing (h) moves the graph left or right. Specifically, (h) determines the horizontal position, with (h > 0) shifting the parabola to the right and (h < 0) shifting it to the left.
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.
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?
It would be shifted down
You can move a sine curve up or down by simply adding or subtracting a number from the equation of the curve. For example, the graph of y = sin x + 4 moves the whole curve up 4 units, with the sine curve crossing back and forth over the line y = 4. On the other hand, the graph of y = sin x - 1 slides
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.