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  3. what is the vertex of   y=2x²+6x+4  ? give det

What is the vertex of   y=2x²+6x+4  ? Give details explaination

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Advance Math

What is the vertex of  

y=2x²+6x+4  ? Give details explaination

Answer & Explanation Solved by verified expert
4.2 Ratings (594 Votes)

Complete the square to find the turning points, also known as the vertex.

y=2x²+6x+4

y=2(x²+3x+2)

y=2[(x+3/2)²?9/3+2]

y=2(x+3/2)²?1/2

Notice here that you have to multiply BOTH terms by 2, as 2 was the common factor which you took out of the entire expression!

Therefore, the turning points can be picked up such that

x=?3/2,y=?1/2

Therefore coordinates:

(?3/2,?1/2)

Complete the square to find the turning points, also known as the vertex.

Therefore, the turning points can be picked up such that

x=?3/2,y=?1/2

Therefore coordinates:(?3/2,?1/2)
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