If the function g(x) = f(x + 2), how can the graph of the function g(x) be obtained from the graph of f(x)? A)by translating the graph of f(x) two units to the right

B)by translating the graph of f(x) two units to the left

C)by translating the graph of f(x) two units down

D)by translating the graph of f(x) two units up

D)     x =3  and x =7

Step-by-step explanation:

Step(i):-

Given function f(x) = 2x -2

                       g(x) = x² - 8x +19

Given that f(x) = g(x)

       ⇒  2x -2 = x² - 8x +19

      ⇒ x² - 8x +19 -2x +2 =0

   ⇒   x² -10x +21 =0

Step(ii):-

The factors are  x² -10x +21 =0

  ⇒  x² - 7x - 3x +21 =0

 ⇒ x( x-7) -3( x-7) =0

⇒ (x-3)(x-7) =0

    x =3  and x =7

answer: y = -12x + 108

step-by-step explanation: do (y = m x+b) formula.

the answer is c.

step-by-step explanation: