What are the coordinates of the vertex for f(x) = 2x2 + 4x + 9?
2 answers:
Answer:
The answer to your question is V ( -1 , 7)
Step-by-step explanation:
Data
f(x) = 2x² + 4x + 9
1.- Use "y" instead of f(x)
y = 2x² + 4x + 9
2.- Subtract 9 in both sides and simplify
y - 9 = 2x² + 4x + 9 - 9
y - 9 = 2x² + 4x
3.- Factor 2 in the right side
y - 9 = 2(x² + 2x )
4.- Complete the perfect square trinomial
y - 9 + 2 = 2(x² + 2x + 1)
5.- Simplify
y - 7 = 2(x + 1)²
6.- Get the Vertex
V ( -1 , 7)
To answer this quickly the answer is (-1,7)
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