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Which of these functions could be represented by this graph

Which of these functions could be represented by this graph-example-1

1 Answer

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Answer:

y = x² + 2x - 3

Step-by-step explanation:

The graph passes through the point (x, y) = (-1, -4).

So, if we replace x = -1 on the right equation, we will get y = -4. So, for each option, we get:

y = x² + 2x - 3

y = (-1)² + 2(-1) - 3

y = 1 - 2 - 3 = -4

y = x² - 2x - 3

y = (-1)² - 2(-1) - 3

y = 1 + 2 - 3 = 0

y = -x² + 2x - 3

y = -(-1)² + 2(-1) - 3

y = -1 - 2 - 3 = -6

y = -x² -2x - 3

y = -(-1)² - 2(-1) - 3

y = -1 + 2 - 3 = -2

Therefore, the correct option is y = x² + 2x - 3

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