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.

Step-by-step explanation:

There are two functions f(x) = 5x and g(x) = 5x + 3

This parent function f(x) has been translated to form a new function g(x) = 5x + 3

These linear functions can be represented by two lines y = 5x and y' = 5x' + 3

So when we shift line y = 5x by 3 units up on the y-axis then a new graph of

y = 5x + 3 will be formed.

Therefore, Option A is the answer.

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