Question

How is the function shown below related to y​=x? Graph the function by translating the parent function. yx How are the functions​ related? A. Each output of yx is ​one- the corresponding output for yx. B. Each output of yx is than the corresponding output for yx. C. Each output of yx is times the corresponding output for yx. D. Each output of yx is than the corresponding output for yx.

Answer 1

Function transformation involves changing the position of a function.

The true statement is: (c) Each output of $\mathbf{y = x + 5}$ is times the corresponding output for $\mathbf{y = x }$

The function is given as:

$\mathbf{y = x + 5}$

And the parent function is given as:

$\mathbf{y = x}$

$\mathbf{y = x + 5}$ means that:

For the same x value, the output of $\mathbf{y = x + 5}$ is 5 greater than the output of $\mathbf{y = x}$

Hence, the true statement is: (c)

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