The table represents a quadratic function C(t). t C(t) 2 4 3 1 4 0 5 1 6 4

Question

The table represents a quadratic function C(t).    t C(t)  2 4  3 1  4 0  5 1  6 4   What is the equation of C(t)?   C(t) = −(x − 4)2   C(t) = (x − 4)2   C(t) = −x2 + 4   C(t) = x2 + 4

Neala · Answer

The equation of the  quadratic function  is (b) C(t) = (t - 4)²    How to determine the equation of the quadratic function?  From the question, we have the table of values that can be used in our computation:  A  quadratic equation  is represented as  f(x) = a(x - h)² + k    Where  Vertex = (h, k)    From the  graph , we have the  vertex  to be  (h, k) = (4, 0)    Substitute (h, k) = (4, 0) in f(x) = a(x - h)² + k    So, we have  f(x) = a(x - 4)²    Also, from the  graph , we have the  point  (2, 4)  This means that  a(2 - 4)² = 4    So, we have  4a = 4    Divide both sides by 4  a = 1    Substitute a = 1 in f(x) = a(x - 4)²  f(x) = (x - 4)²    Rewrite as C(t)  C(t) = (t - 4)²    Hence, the  equation  is C(t) = (t - 4)²    Read more about  quadratic equations  at  brainly.com/question/24334139    #SPJ1

How to determine the equation of the quadratic function?

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