Question

Function g is a transformation of the parent function f(x) = x2. The graph of g is a translation right 3 units and down 5 units of the graph of f.What is the equation of function g written in the form y = ax2 + bx + c?O A. y = x2 + 6x + 4O B. y = x2 - 6x + 4O C. y = x2 + 10x + 22O D. y= x - 6x + 14

Answer 1

f(x) = x²

f(x - 3) translates f(x) 3 units to the right

f(x) - 5 translates f(x) 5 units down

Then, g(x) is:

g(x) = (x - 3)² - 5

g(x) = x² - 2*x*3 + 3² - 5

g(x) = x² - 6x + 9 - 5

g(x) = x² - 6x + 4