The graph of g(x)=3(5x) is related to the graph of f(x)=5x by A)Adding 3 to the function translates the parent graph 3 units up.
The two functions given from the question are:
f(x) = 5x
g(x) = 5x + 3
The parent function f(x) is the one that was translated to form a new function g(x) = 5x + 3
These linear functions of the two lines are:
y = 5x
y' = 5x' + 3
Then if line y = 5x is shifted by 3 units up following y-axis
we will have new graph of y = 5x + 3 will be formed.
Therefore, Option A is correct because , The graph of g(x)=3(5x) is related to the graph of f(x)=5x by A)Adding 3 to the function translates the parent graph 3 units up.
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CHECK THE COMPLETE QUESTION BELOW:
Describe how the graph of g(x) is related to the parent function f(x).
f(x) = 5x
g(x) = 5x + 3
The options are
A)Adding 3 to the function translates the parent graph 3 units up.
B)Adding 3 to the function translates the parent graph 3 units down.
C)Adding 3 to the function translates the parent graph 3 units to the left.
D)Adding 3 to the function translates the parent graph 3 units to the right.
