Question

(02.05 MC)
Graph g(x), where f(x) = 3x - 1 and g(x) = f(x + 1).
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Answer 1

Graphs in the figure below

Explanation:

Graphs

We are given the functions:

f(x)=3x-1

g(x)=f(x+1)

The graph of f can be drawn by calculating some points. For x={-1,0,1,2}

We calculate y:

y=3*(-1)-1 = -4. Ordered pair: (-1,-4)

y=3*(0)-1 = -1. Ordered pair: (0,-1)

y=3*(1)-1 = 2. Ordered pair: (1,2)

y=3*(2)-1 = 5. Ordered pair: (2,5)

The graph of g is similar to the graph of f, but the x-coordinates are shifted left by one unit:

Ordered pair: (-2,-4)

Ordered pair: (-1,-1)

Ordered pair: (0,2)

Ordered pair: (1,5)

Both graphs are shown in the image provided