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Which of following is the graph of y = -(x + 1)2 -3? o ty 2 ?? 덕 a -2 2 4 n DONE​

Which of following is the graph of y = -(x + 1)2 -3? o ty 2 ?? 덕 a -2 2 4 n DONE​-example-1
User Neekobus
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1 Answer

23 votes
23 votes

Answer:

Neither of the graphs shown.

Explanation:

Given the quadratic equation, y = - (x + 1)² - 3, where a = -1, and the vertex is the minimum value that occurs at point (-1, -3). It is easier to tell which graph corresponds to the given equation due to the coefficient, a. In quadratic fucntions, if a < 0, then it means that it is a downward-facing parabola. The value of a makes the parent function wider or narrower.

Also, the parabola is shifted 1 unit to the left, as defined by h = -1, and 3 units downward, defined by k = -3.

I'm not sure if there are other graphs as options. Since neither one of the graphs shown applies to the given quadratic equation, I'm including a screenshot of the correct graph for your reference, where it shows where the vertex is located, along with the y-intercept, (0, -4) -- just in case. Hopefully this helps.

Which of following is the graph of y = -(x + 1)2 -3? o ty 2 ?? 덕 a -2 2 4 n DONE​-example-1
User Faza
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2.5k points