Question

Which equation describes the graphed function?

Answer 1

Using translations, it is found that the equation the represents the graphed function is:

$y = -f(x) - 3$, given by option C.

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• The parent function is $f(x) = \sqrt{x}$.
• As x increases, it's value increases. In the graph, as x increases, it decreases, thus it was multiplied by -1, that is, $-f(x)$.
• The parent function is defined for $x \geq 0$, and the same is valid for the function in the graph, thus we have $f(x)$ and not $f(-x)$.
• The initial value of the parent function is $y = 0$, here it is $y = -3$, thus it was shifted down 3 units, that is, $y = -f(x) - 3$, and the correct option is C.

A similar problem is given at brainly.com/question/17072859