Question

Which is the graph of y = 3√x+2+3?22ਦੀਆਂ ਦੀਆਂx-4-22 4-4-224-2-2-2ary224-4-24142-22x

Answer 1

Answer: We have to plot the function:

`y(x)=\sqrt[3]{x+2}+3\rightarrow(1)`

(1) is the cube root function translated along the x and y-axis, and can be plotted by translating the base cube root function along the x and y-axis:

`\begin{gathered} y(x)=\sqrt[3]{x} \\ \\ \\ \text{ Translation along x by 2 units left:} \\ \\ \\ y(x)=\sqrt[3]{x+2} \\ \\ \\ \text{ Translation along y by 3 units up:} \\ \\ \\ y(x)=\sqrt[3]{x+2}+3\rightarrow(2) \end{gathered}`

The final plot along the translation steps is as follows:

The answer is the Second Option.