Question

Suppose f(x) = 5x - 4. Describe how the graph of g compares with the graph of f.

Answer 1

The graph of g(x) and f(x) are related by the given equation g(x) = f(x) + 12,

therefore, the ordered pair of the graph of g(x) is (f(x) + 12, x).

The choice that correctly describes how the graph of g(x) compares with f(x)

is the option; H. The graph of g(x) is translated unit(s) up compared to graph

of f(x).

Reasons:

The given function is f(x) = 5·x - 4

The function g(x) = f(x) + 12

Required:

To select the correct choice from the given options

Solution:

The difference between f(x) and the required function, g(x), is the addition

of a constant positive value of 12 to the function f(x).

Therefore, each f(x) output value is further increased by 12 to obtain the

graph of g(x), which gives;

The graph of g(x) is translated 12 units up compared to the graph of f(x),

which corresponds with the option H.

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