Question

+5 is shifted left units, stretched vertically by a factor of 8, reflected about the x-axis, and then shifted downward 5 units. What is the equation of the new The graph of X) - function, gx)? g) - X State the y-intercept of gix).

Answer 1

x-9 x49-9 -1 2 2 given function: f(x) = -1/3 (6) +s t shifted Left g units ; f(x) → f(x+3) 9,020) 9,10) (64) "+5 streehed vertical & factor; f (x) (2) 8 g, (x) g(x) = 8x-1) (2) " +5x8 >92000) = -46) +90 reflection about x-axis, Oz (oc)+ - 89() 33(%) = -(-4(3) +40) 3 83(x)4338 - 40 shifted down 5 units gg (x) g(x) - 5 04() = 445)-40-5 5400*)= g(2 g(x) = 463)* - 45 . The new function get) 4 (2) * - 45 - y-intercept ; (Let Y= g(2) 415-45 =4-453-41 (x,y (0, -41) x=0 =