Maths-
General
Easy

Question

The graph shown is a translation of the graph of f(x)=2x2. Write the function for the graph in vertex form

hintHint:

The vertex form of a quadratic function is
f(x) = a(x – h)2 + k
Where a, h, and k are constants. Here, h represents horizontal translation, a represents vertical translation and (h,k) is the vertex of the parabola. Also, a represents the Vertical stretch/shrink of the parabola and if a is negative, then the graph is reflected over the x-axis.
 

The correct answer is: Hence, the function of the parabola is g(x) = 2(x-1)2 - 3


    h and k are the vertex of the parabola. So, by seeing the graph we can conclude that the vertex is (1,-3).
    So, h = 1 and k = -3
    Let’s say that function of the parabola is g(x) = a(x-1)2 - 3
    As the graph is made by translating f(x)=2x2. So, the value of a = 2
    g(x) = 2(x-1)2 - 3
    Final Answer:
    Hence, the function of the parabola is g(x) = 2(x-1)2 - 3

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