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

(-9,0) and (-4,0)

Explanation:

To graph the function's zeros, factor the function.

`g(x) = x^2 +3x -4\\g(x) = (x+4)(x-1)`

Set each factor equal to 0:

x+4=0 so x=-4

x-1=0 so x=1

This is the original function while the new function is shifted over 5 units to the left. This means -4 -5 = -9 and 1-5 = -4

The new zeros of the function are (-9,0) and (-4,0).