Mathematics
Grade10
Easy

Question

The coordinates of the vertex of the parabola whose equation is y equals x squared plus 4 x minus 2 are:

  1. (2, 11)
  2. (-1, -7)
  3. (1, 1)
  4. (-2, -6)

hintHint:

In this question, we have to find the k value of vertex (h, k) for the equation y equals x squared plus 4 x minus 2. Vertex form is another form of a quadratic equation. The standard form of a quadratic equation is ax squared + bx + c. The vertex form of a quadratic equation is a left parenthesis x minus h right parenthesis squared + k where a is a constant that tells us whether the parabola opens upwards or downwards, and (h, k) is the location of the vertex of the parabola.

The correct answer is: (-2, -6)


    Given quadratic equation, y equals x squared plus 4 x minus 2
    Now we isolate constants to the other side,
    y plus 2 equals x squared plus 4 x
    Adding 4 on both sides, we get
    y plus 2 plus 4 equals open parentheses x squared plus 4 x plus 4 close parentheses
y plus 6 equals left parenthesis x plus 2 right parenthesis squared
y equals left parenthesis x plus 2 right parenthesis squared minus 6
    The vertex form of the quadratic equation is y equals left parenthesis x plus 2 right parenthesis squared minus 6.
    Therefore, vertex is (-2, -6).

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