The graph of the function g(x) = x2 + 3x - 4 is shifted 5 units to the left. Plot the zeros of the new function on the provided graph

Answer and Step-by-step explanation:1. [tex]x1=-9[/tex]2. [tex]x2=-4[/tex]                                                                                                             Horizontal translation are :we know that to graph [tex]y = f (x + h)[/tex], we have to move the graph of [tex]"h"[/tex] units to the left.Then we'll get it as :[tex]g (x + 5) = (x + 5) 2 + 3 (x + 5) - 4[/tex]Now, we have to re-write this, which gives us :[tex]f (x) = x ^ 2 + 10x + 25 + 3x + 15 - 4[/tex][tex]f (x) = x ^ 2 + 13x + 36[/tex]Now, we're going to equaling the zero we have :[tex]x ^ 2 + 13x + 36 = 0[/tex]Now, we have to look for the roots of the polynomials :[tex](x + 9) (x + 4) = 0[/tex][tex]x1 = -9[/tex][tex]x2 = -4[/tex]