Question

The graph of the quadratic function shown on the left is

y = –0.7(x + 3)(x – 4).

The roots, or zeros, of the function are
.



Determine the solutions to the related equation
0 = –0.7(x + 3)(x – 4).

The solutions to the equation are x =
.

Answer 1

1) 3- and 4

2) 3- and 4

Step-by-step explanation:

Answer 2

Answer: The roots are x = -3 and x = 4

Step-by-step explanation:

We'll use the zero product property. This is the idea where if A*B = 0, then either A = 0 or B = 0.

So if

-0.7(x+3)(x-4) = 0

then either

x+3 = 0 or x-4 = 0

Both of those equations solve to

x = -3 or x = 4

The roots are the locations of the x intercepts, which is where the graph crosses or touches the x axis.