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The coordinates of the vertex of the par...

The coordinates of the vertex of the parabola whose equation is `y=2x^(2)+4x-5` are

A

`(2,11)`

B

`(-1,-7)`

C

`(1,1)`

D

`(-2,-5)`

Text Solution

Verified by Experts

The correct Answer is:
B
The x-coordinate of the vertex is `x=-(b)/(2a)=-(4)/(4)=-1` and the y-coordinate is `y=2(-1)^(2)+4(-1)-5=-7`. Hence the vertex is the point (-1,-7)
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Knowledge Check

  • If an equation of a parabola in the xy-plane is f(x)=-(x+2)^(2)-1 , what are the coordinates of the vertex of the parabola defined by g(x)=f(x-2) ?

    A
    `(0, -1)`
    B
    `(4, -1)`
    C
    `(-2, -3)`
    D
    `(-2, 1)`

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