F(x) = (x - 3)(x + 4)

f(x)= x^2+x-12

Step-by-step explanation:

FOIL

First= (x)(x)=x^2

Outer=(x)(4)=4x

Inner=(-3)(x)=-3x

Last=(-3)(4)=-12

x^2+4x-3x-12

x^2+x-12

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

b) the dogs need to shift their focus to human scent.