Determine the vertex form of g(x) = x^2 + 2x – 1. Which graph represents g(x)?
1 answer:
Answer:
Graph D
Step-by-step explanation:
Move the constant to the opposite side of the equation and group terms that include the same variable.
g(x) + 1 = x^2 + 2x
Finish the square. Remember to keep the equation balanced by using the same constants on both sides.
g(x) + 1 + 1 = x^2 + 2x + 1
g(x) + 2 = x^2 + 2x + 1
Rewrite as perfect squares
g(x) + 2 = (x + 1)^2
Equation in vertex form:
g(x) = (x + 1)^2 - 2
The vertex:
(-1, -2)
* This a minimum *
- <em>(Parabola open upward)</em>
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Step-by-step explanation:
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Work:
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A = 3.14 (3²)
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Answer:
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Step-by-step explanation:
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