Mathematics
Grade10
Easy

Question

Find the k value of vertex (h, k) for the equation y equals 6 x squared plus 24 x plus 2.

  1. 0
  2. 1
  3. 2
  4. 5

hintHint:

The vertex of a parabola is its sharp turning point. It is the point where the parabola intersects its axis of symmetry.

The correct answer is: 1


    Given equation,
    y equals 5 x squared plus 10 x plus 5
y minus 5 equals 5 x squared plus 10 x
y minus 5 equals 5 open parentheses x squared plus 2 x close parentheses
    Adding open parentheses 2 over 2 close parentheses squared on both the sides,
    y minus 5 plus 5 left parenthesis 1 right parenthesis equals 5 open parentheses x squared plus 2 x plus 1 close parentheses
y equals 5 left parenthesis x plus 1 right parenthesis squared
y equals 5 left parenthesis x plus 1 right parenthesis squared minus 0
    The height of the foot after the kick is 0 units and the football reaches the distance of 1 unit from the kick point.

    The height of the foot after the kick is 0 units and the football reaches the distance of 1 unit from the kick point.

    The other method to find the vertex of a parabola is as we know that the x-coordinate of a vertex, (i.e) h is -b/2a.Now, substitute the x-coordinate value in the given standard form of the parabola equation y=ax2+bx+c, we will get the y-coordinate of a vertex.

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