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Algebra 2A

Which equation represents the graph?

Algebra 2A Which equation represents the graph?-example-1
User NickD
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1 Answer

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Answer:

The graph is of the equation y = 3|x| + 5.

Explanation:

From the graph, it is clear that the graph has two different equations and the value of x at which the equation changes is 0.

Therefore, only the equation in options B and D changes at x = 0.

Now, from equation B, y = 3|x| + 5 gives

y = 3x + 5 when x ≥ 0 and y = - 3x + 5, when x < 0 ............ (1)

And the equation D, y = 5|x| + 3 gives

y = 5x + 3 when x ≥ 0 and y = - 5x + 3 when x < 0 ................ (2)

Now, for x = 0, from the graph we have y = 5.

So, the only relations (1) satisfies this.

Hence, the graph is of the equation y = 3|x| + 5. (Answer)

User AlvaroAV
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