### Home > A2C > Chapter 7 > Lesson 7.2.2 > Problem 7-117

7-117.

Use the ideas developed in problem 7-116 to change each of the following quadratic equations into graphing form. Identify the vertex and the line of symmetry for each one. Homework Help ✎

*f*(*x*) = 4*x*^{2}− 12*x*+ 6*g*(*x*) = 2*x*^{2}+ 14*x*+ 4

Make the coefficient of *x*² equal to 1 by factoring out a 4 in the first two terms.

Take half of '3' and square it. You get: (1.5)² = 2.25. The '4' indicates you really added 4(2.25) or 9. So add the 2.25 inside the ( )'s and subtract the equivalent '9' outside the ( )'s on the same side.

Then simplify.

*f*(*x*) = 4(*x*^{2} − 3*x*) + 6

*f*(*x*) = 4(*x*² − 3*x* + 2.25) + 6 −9

*f*(*x*) = 4(*x* − 1.5)^{2} − 3

See part (a).