Which is the graph of f(x) = 1/4 (4)x?
this is for edgunity

Fourth graph

Step-by-step explanation:

First:  some important housekeeping:

Please use " ^ " to denote exponentiation:  f(x) = (1/4)(4)^x, and enclose fractional coefficients such as 1/4 inside parentheses:  (1/4).

f(x) = (1/4)(4)^x is an exponential growth function; we know that because the base is greater than 1.  The graph is vertically compressed by a factor of 1/4.

You have four graphs from which to choose.

Eliminate the first and second graphs; they are of expo decay functions.

Evaluate f(x) = (1/4)(4)^x at x = 0 to find the y-intercept:

f(0) = (1/4)(4)^0 = 1/4

Both the 3rd and the 4th graphs go through (0, 1/4).  Good.

The 3rd graph shows the curve going through (3, 2).  Let's determine whether or not this point lies on f(x) = (1/4)(4)^x:

f(3) = (1/4)(4)^2  =  (1/4)(16) = 4.  No.

The 4th graph shows the curve going through (1, 1).  Does this point satisfy f(x) = (1/4)(4)^x?  f(1) = (1/4)(4)^1 = 1.  Yes.

The fourth graph is the correct choice.

d

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have