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How is the graph of \(f(x) = x + 7\) different from \(g(x) = x + 12\)?

A.

When \(f(x)\) is shifted up 5 units, \(g(x)\) will be obtained

B.

\(g(x)\) is obtained by shifting \(f(x)\) down 5 units

C.

When \(g(x)\) is shifted up 5 units, \(f(x)\) will be obtained

D.

\(f(x)\) is obtained by shifting \(g(x)\) up 5 units

Describe how \(f(x) = (x - 3){}^{2}\) is different from \(g(x) = (x + 3){}^{2}.\)

A.

The graph of f(x) is a parabola shifted 3 units left, while the graph of g(x) is a parabola shifted 3 units right.

B.

The graph of f(x) is a parabola shifted 3 units up, while the graph of g(x) is a parabola shifted 3 units down.

C.

The graph of f(x) is a parabola shifted 3 units right, while the graph of g(x) is a parabola shifted 3 units left.

D.

The graph of f(x) is a parabola shifted 3 units down, while the graph of g(x) is a parabola shifted 3 units up.

How is the graph of \(f(x) = x{}^{3}\) different from \(g(x) = x{}^{3} - 5?\)

A.

The graph of g(x) is shifted right 5 units.

B.

The graph of g(x) is shifted left 5 units.

C.

The graph of g(x) is shifted up 5 units.

D.

The graph of g(x) is shifted down 5 units.

Building Functions (HSF.BF.B.3)

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