F(x)=-3x^2+3x+4 G(x)=-6x+4

Question

Solve algebraically. What do these solutions tell you about the graphs of the two functions 

Answer 1

f(x)=-3x² + 3x + 4

g(x) = -6x + 4

set them equal

-3x² + 3x + 4 = -6x + 4

standard form

 

-3x² + 9x = 0

factor

-3x(x-3)=0

x= 0, x=3

 

The graphs of the two functions will cross at x=0 and x=3