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viva [34]
2 years ago
9

Express the function y = 2x^2 + 8x + 1 in vertex form.

Mathematics
2 answers:
Fiesta28 [93]2 years ago
7 0

Answer:  The vertex form of the given function is y=2(x+2)^2-7.

Step-by-step explanation: We are given to express the following function in vertex form.

y=2x^2+8x+1~~~~~~~~~~~~~~~~~~~~(i)

We know that the vertex form of a quadratic function y=ax^2+bx+c is given by

y=a(x - h)2+k, where (h, k) is the vertex.

From equation (i), we have

y=2x^2+8x+1\\\\\Rightarrow y=2(x^2+4x+4)-8+1\\\\\Rightarrow y=2(x+2)^2-7.

Thus, the vertex form of the given function is y=2(x+2)^2-7.

VikaD [51]2 years ago
3 0
Your answer in Vertex Form :
y = 2(x+2)^2-7
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