If you horizontally compress the exponential function f(x) = 2x by a factor of 3, which of these is the equation of the new

a. f(x) = 6x
b. f(x) = 2(3x)
c. f(x) = 5x
d. f(x) = 3(2x)

Option: B is the correct answer.

    The equation of the new function is:

               B.f(x) = 2^{3x}

For a given function f(x) the transformed function:

g(x)=f(bx) gives a horizontal compression or stretch depending on b

if b>1 then the graph is compressed.

and if 0 < b <1 then the graph is stretched.

We are given a parent function f(x) as:

Here we have b=3

Hence, the equation of the new function will be:

Hence, the correct answer is :  Option: B

nlgqer

step-by-step

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: