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

What is the vertex of

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

Expert Solution

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)

Sankar Maity answered 2 years ago

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