### Home > A2C > Chapter 13 > Lesson 13.2.1 > Problem 13-106

13-106.

Without graphing, determine where the graphs of *f*(*x*) = 2*x*^{2} − 3*x* + 1 and *g*(*x*) = 4*x* − 2 intersect. Homework Help ✎

Substitute 4*x* − 2 for *y* in the first equation.

*y* = 2*x*^{2} − 3*x* + 1*y* = 4*x* − 2

Set the equation equal to 0 and factor.

Substitute each value of *x* into the second equation and solve for *y*.