What is the vertex form of #y=4x^2-17x+60 #?
Complete the square:
The vertex is
We can convert by completing the square on the first two terms, but first we need to have a "1" in front of the x-squared.
A standard form of parabola is:
The vertex form for the same equation is:
Where the point
Add (b/2)^2 to complete the square
The -289/16 is necessary to balance out the 4(289/64) that we added.
Factor the parentheses and find an LCD to add the 60 and -289/16