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Which graph represents g(x)=−(x−3)2−5 ?

Which graph represents g(x)=−(x−3)2−5 ?-example-1
User Delsa
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2 Answers

2 votes
The graph is the C one
User Thomas Thomas
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5 votes

Answer:

The answer to your question is picture 1

Explanation:

- This is a quadratic equation, so we look for a parabola. The four graphs show parabolas.

- We can notice a negative sign before the term (x - 3)², which indicates that it is a down-parabola. We discard the second and the fourth pictures.

- Get the vertex

y = -(x - 3)² - 5

y + 5 = - (x - 3)² Vertex = (-5, 3)

because we change signs

- With all this information, we conclude that the answer is picture 1 because its vertex is (-5, 3)

User Isaacsloan
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