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Function g is a transformation of the parent function f(x) = x^2. The graph of g is a translation right 3...

Function g is a transformation of the parent function f(x) = x^2. The graph of g is a translation right 3 units and down 5 units from the graph of f. What is the equation of function g written in the form y = ax^2 + bx + c?
A. y = x^2 + 6x + 4
B. y = x^2 - 6x + 4
C. y = x^2 + 10x + 22
D. y = x^2 - 6x + 14

Answer

The transformation involves moving the graph of f(x) = x^2 to the right by 3 units and down by 5 units. This can be represented by the equation:

g(x) = (x - 3)^2 - 5

Expanding this:

g(x) = (x - 3)^2 - 5 = (x^2 - 6x + 9) - 5 = x^2 - 6x + 4

Therefore, the correct answer is:

  1. B. y = x^2 - 6x + 4

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