To properly visualize the given, we transform them into equation form rather than words.
f(x) = sqrt (x)
g(x) = 8(sqrt(x))
From these, it may be observed that g(x) is 8 times of f(x). These transformation is in the value of y and is scaling. Because it is multiplied by a a whole number, the transformation is vertical scaling that involves multiplying the y-coordinate by 8.
Answer:
Option C. Yes; y=2x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
so
In this problem
For x=0, y=0
That means ----> the line passes through the origin
<em>Find the value of k</em>
For x=2, y=4
----> 
For x=4, y=8
----> 
The values of k are equal
therefore
The table represent a direct variation
The equation is equal to

See below for the changes when the exponential function is transformed
<h3>How to determine the effect of a</h3>
The exponential functions are given as:




An exponential function of the above form is represented as:

See attachment for the graph of the four functions.
<u>When a is large</u>
This is represented by 
In this case, the curve of the base form
is vertically stretched and it moves closer to the y-axis
<u>When a is small</u>
This is represented by 
In this case, the curve of the base form
is vertically stretched and it moves away from the x-axis
<u>When a is negative</u>
This is represented by 
In this case, the curve of the base form
is vertically stretched and is reflected across the y-axis.
Read more about function transformation at:
brainly.com/question/26896273
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