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Which equation is rewritten in vertex form

Which equation is rewritten in vertex form-example-1
User Zuria
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1 Answer

6 votes

Answer:

Option (2)

Explanation:

Given expression is, y = (x + 3)² + (x + 4)²

By solving this expression,

y = x² + 6x + 9 + x² + 8x + 16

y = 2x² + 14x + 25

y = (2x² + 14x) + 25

y = 2(x² + 7x) + 25

y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25

y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25

y = 2(x + 3.5)² - 24.5 + 25

y = 2(x + 3.5)² + 0.5


y=(x+(7)/(2))^2+(1)/(2)

Therefore, Option (2) will be the vertex form.

User Bleater
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