Transformation for y=2^0.5x

Hello,

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!

Re: Transformation for y=2^0.5x

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

Re: Transformation for y=2^0.5x

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 $\displaystyle y= 2^x$ contains the points (0, 1) and (1, 2). The corrsponding points on the graph of $\displaystyle y= 2^{0.5x}= 2^{x/2}$ are (0, 1) and (2, 2). Same y values but the horizontal distace between them has doubled.