The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown. f(x) = 4(x2 + 12x) + 10 = 36 what is the function written in vertex form? f(x) = 4(x + 6)2 + 10 f(x) = 4(x + 6)2 – 26 f(x) = 4(x + 6)2 – 134 f(x) = 4(x + 6)2 + 154

we have

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

------> equation in vertex form

therefore

the answer is

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.