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]
