For the transformed exponent find ordered pairs satisfying y= 2^.5x
Examples x=0 y=1, x=-4 y=1/4, x=4 y=4 continue and plot
I've been given this question:
For the following equation, state the parent function and the transformation that was applied. Graph the transformed function.
I know that the parent function is y=2^x. But I don't understand how I would describe the transformation, and how I would graph it. If it was to the power of 0.5x how will it be different from just power to x?
Please help me..
Thanks in advance!
Given the graph of y= f(x), any thing done before applying the function f is a change to x and affects the graph horizontally- because the x-axis is horizontal. Anything done after applying the function is a change to y and affects the graph vertically- because the y-axis is vertical.
Here, replacing x with 0.5x- that is, multiplying x by 1/2, stretches the graph horizontally. For example, the graph of contains the points (0, 1) and (1, 2). The corrsponding points on the graph of are (0, 1) and (2, 2). Same y values but the horizontal distace between them has doubled.