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Zigmanuir [339]
3 years ago
5

The function represented by graph B is g(x) = _________

Mathematics
1 answer:
alexira [117]3 years ago
5 0

Answer:

g(x)=\sqrt[3]{x-1}

h(x)=\sqrt[3]{x}-1

Step-by-step explanation:

Graph represents the parent function

f(x)=\sqrt[3]{x}

The translation is defined as

g(x)=f(x+a)+b

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From the the given graph it is clear that graph A shifts 1 unit right to get the graph B. So, a=-1, b=0.

g(x)=\sqrt[3]{x-1}

From the the given graph it is clear that graph A shifts 1 unit down to get the graph C. So, a=0, b=-1.

h(x)=\sqrt[3]{x}-1

Therefore, the required functions are g(x)=\sqrt[3]{x-1}  and h(x)=\sqrt[3]{x}-1.

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