Questions: Graph the equation y=x-5. Let x=-3,-2,-1,0,1,2, and 3. Find the following y-values. Then choose the correct graph of the equation to the x y -3 -2 -2 -3 -1 -

Graph the equation y=x-5. Let x=-3,-2,-1,0,1,2, and 3. Find the following y-values. Then choose the correct graph of the equation to the x y -3 -2 -2 -3 -1 -
Transcript text: Graph the equation $y=|x|-5$. Let $x=-3,-2,-1,0,1,2$, and 3 . Find the following $y$-values. Then choose the correct graph of the equation to the \begin{tabular}{|c|c|} \hline $\mathbf{x}$ & $\mathbf{y}$ \\ \hline-3 & -2 \\ \hline-2 & -3 \\ \hline-1 & $\square$ \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Calculate \( y \) for \( x = -1 \)

Given the equation \( y = |x| - 5 \):

For \( x = -1 \): \[ y = |-1| - 5 = 1 - 5 = -4 \]

Final Answer

The \( y \)-value for \( x = -1 \) is \(-4\).

{"axisType": 3, "coordSystem": {"xmin": -4, "xmax": 4, "ymin": -10, "ymax": 2}, "commands": ["y = abs(x) - 5"], "latex_expressions": ["$y = |x| - 5$"]}

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