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lisabon 2012 [21]
2 years ago
12

Determine the vertex form of g(x) = x^2 + 2x – 1. Which graph represents g(x)?

Mathematics
1 answer:
nataly862011 [7]2 years ago
3 0

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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