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.
It is y = x + 4
I am not entirely sure what the equation is supposed to be. However, to translate something 4 units up (4 units in the y-direction), simply replace every "y" in your equation by "y - 4". Simplify the result if you want.
Yes. For example, if you want to shift the graph 5 units to the right, you must replace every instance of "x" by "x-5".
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
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.
The graph of y = c, a constant will be a straight line parallel to the x-axis and c units from it..
subtract
Add
The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?
Subtract that number from. Your welcome dumb
Y = x + 4
y=x-2
It is y = x + 4
I am not entirely sure what the equation is supposed to be. However, to translate something 4 units up (4 units in the y-direction), simply replace every "y" in your equation by "y - 4". Simplify the result if you want.
The graph shifts downward (negative y) by 9 units.
the graph is moved down 6 units
Yes. For example, if you want to shift the graph 5 units to the right, you must replace every instance of "x" by "x-5".