The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?
y = -y implies the first line is y = 0 or the x axis. Shifted up 4 units, it becomes the line y = 4.
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 second graph is shifted upwards by 4 units.
They're exactly the same shape and size, but every point on the graph of the first one is 8 units directly below the corresponding point on the graph of the second one.
it is the same as a sin function only shifted to the left pi/2 units
The graph of g(x) is the graph of f(x) shifted 6 units in the direction of positive x.
If y = f(x), then y = f(x + c) is the same graph shifted c units to the left (or right if c is negative) along the x-axis For y = x, by changing x to x + c, the above shift is indistinguishable from shifting the graph c units up (or down if c is negative) the y-axis.
The standard form of the quadratic function in (x - b)2 + c, has a vertex of (b, c). Thus, b is the units shifted to the right of the y-axis, and c is the units shifted above the x-axis.
Go what equals 5 units to the left
The graph shifts downward (negative y) by 9 units.
the graph is moved down 6 units