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Nuetrik [128]
4 years ago
11

Which graph represents y = ^3 radical x - 5 ? PLEASE ANSWER FAST IM TIMED

Mathematics
2 answers:
LenKa [72]4 years ago
7 0

Answer: Fourth graph

Step-by-step explanation:

The given function is y=\sqrt[3]{x-5}

To find the x intercept of the graph, put y=0, we get

0=\sqrt[3]{x-5}\\\\\Rightarrow x-5=0\\\\\Rightarrow\ x=5

We we look in the given graphs only in the fourth graph the curve is passing through x intercept (5,0) .

Therefore, the fourth graph  represents  y=\sqrt[3]{x-5}.

Vladimir79 [104]4 years ago
4 0
The graph of the parent cube root function which is y=  \sqrt[3]{x}  passes from the origin. We have to find the graph of y=\sqrt[3]{x-5}

Addition or subtraction of a number from the function argument i.e. x, shifts the graph horizontally. Addition of a number to the arguments moves it to left, while subtraction of a number moves it to right. 5 is being subtracted from the function argument x. This means the graph of parent cube root function will be shifted 5 units to the left without any change in the vertical direction.

The final picture shows such a graph. So the correct answer is option D 
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