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. Drawing Tools Select Point ResetUndoDelete

Answer 1

-4 and -9

Explanation:

Answer 2

Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
g (x + 5) = (x + 5) 2 + 3 (x + 5) - 4
Rewriting we have:
f (x) = x ^ 2 + 10x + 25 + 3x + 15 - 4
f (x) = x ^ 2 + 13x + 36
Equaling zero we have:
x ^ 2 + 13x + 36 = 0
We look for the roots of the polynomial:
(x + 9) (x + 4) = 0
x1 = -9
x2 = -4
Answer:
The zeros of the new function are:
x1 = -9
x2 = -4