Mathematics
Grade10
Easy

Question

The vertex of f(x) = 3.5(x  + 2)2  - 5 is _____________.

  1. (2, 5)
  2. (5, 2)
  3. (-2, -5)
  4. (-5, -2)

The correct answer is: (-2, -5)


    The vertex of the graph f left parenthesis x right parenthesis equals a left parenthesis x minus h right parenthesis squared plus k text  is  end text left parenthesis h comma k right parenthesis.
    The parent function was f(x)=x2 whose vertex is (0,0)
    f(x)=3.5(x+2)2-5 has -2 and -5, which are the x-intercept and y-intercept respectively.
    x+2 =0 rightwards double arrowx=-2
    So each coordinate including the vertex, and therefore the whole graph is shifted 2 units to the left and 5 units downward.
    So, the new vertex is (-2,-5)

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