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
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`