Maths-
General
Easy

Question

Write each function in standard form . F(x)= 4(x+1)2 -3

The correct answer is: f(x) =0.1x2 -0.4x + 0.3


    Hint :- The standard quadratic form is ax2+bx+c=y, the vertex form of a quadratic equation is y=a(x−h)2+k.
    Solution :- We have given the function in Vertex form , we have to convert it into standard form.
                          F(x)= 4(x+1)2 -3
    On further solving this function we will get
    F(x) = 4 ( x2 + 2x + 1 ) – 3
    = 4x2 + 8x + 4 – 3
    = 4x2 + 8x + 1
    Therefore, the standard form of given function is f(x) = 4x2 + 8x + 1.
                                       
    Q39:
    Complex Level : Hard
    Blooms Level: Understanding
    Write each function in standard form . F(x)= 0.1 (x-2)2 – 0.1
    Hint :- The standard quadratic form is ax2+bx+c=y, the vertex form of a quadratic equation is y=a(x−h)2+k.
    Solution :- We have given the function in Vertex form , we have to convert it into standard form.
    F(x)= 0.1(x-2)2 - 0.1
    On further solving this function we will get
    F(x) = 0.1 ( x2 - 4x + 4 ) – 0.1
    = 0.1x2 – 0.4x + 0.4 – 0.1
    = 0.1x2 -0.4x + 0.3
    Therefore, the standard form of given function is f(x) =0.1x2 -0.4x + 0.3.

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