Question

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 1

Answer and Step-by-step explanation:

1. $x1=-9$

2. $x2=-4$

                                                                                                           

Horizontal translation are :

we know that to graph $y = f (x + h)$, we have to move the graph of $"h"$ units to the left.

Then we'll get it as :

$g (x + 5) = (x + 5) 2 + 3 (x + 5) - 4$

Now, we have to re-write this, which gives us :

$f (x) = x ^ 2 + 10x + 25 + 3x + 15 - 4$

$f (x) = x ^ 2 + 13x + 36$

Now, we're going to equaling the zero we have :

$x ^ 2 + 13x + 36 = 0$

Now, we have to look for the roots of the polynomials :

$(x + 9) (x + 4) = 0$

$x1 = -9$

$x2 = -4$