Michael J. answered • 09/19/15

4+ Years in 2D Sketching and Advanced 3D Modeling Techniques

What you did is set f(x) equal to zero and added a number on both sides of the equation to get a complete square on one side of the equation. This will get you the x-intercepts, but not the y-intercepts and the vertex.

Write the given function in vertex form:

f(x) = a(x - h)

^{2}+ k**where:**

a is the coefficient of the x

^{2}termThe coordinate of the vertex is (h, k)

f(x) = 2

**(**x^{2}- (1/2)x + 1/16**)**+ (7/8)f(x) = 2(x - 1/4)(x - 1/4) + (7/8)

f(x) = 2(x - 1/4)

^{2}+ (7/8)The vertex is (1/4, 7/8).