kuCAu

2021-06-27

Tabular representations for the functions f, g, and h are given below. Write g(x) and h(x) as transformations of f (x).$\begin{array}{|cccccc|}\hline x& -2& -1& 0& 1& 2\\ f\left(x\right)& -1& -3& 4& 2& 1\\ \hline\end{array}$

$\begin{array}{|cccccc|}\hline x& -3& -2& -1& 0& 1\\ g\left(x\right)& -1& -3& 4& 2& 1\\ \hline\end{array}$

$\begin{array}{|cccccc|}\hline x& -2& -1& 0& 1& 2\\ h\left(x\right)& -2& -4& 3& 1& 0\\ \hline\end{array}$

brawnyN

Since we subtract 1 from the values of x for the function f to get the values of x for the function g(r).
And the values of y are the same in both function.
Therefore, The function g(z) is « horizontal shift of f(z).
The function g(z) is shifted 1 unit to the left.
Since we subtract 1 from the values of y for the function f to get the values of y for the function A(z).
And the values of x are the same in both function. Therefore, The function A(z) is a vertical shift of f(x).
The function f(x) is shifted 1 unit down.

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