SOLUTION: place the following quadratic in vertex form by completting the square and then state the coordinates of its vertex. y=3x^2+24x+43

Algebra ->  Graphs -> SOLUTION: place the following quadratic in vertex form by completting the square and then state the coordinates of its vertex. y=3x^2+24x+43      Log On


   



Question 1032821: place the following quadratic in vertex form by completting the square and then state the coordinates of its vertex.
y=3x^2+24x+43

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=3x^2+24x+43
y=3(x^2+8x+43/3)
complete the square
y=3(x^2+8x+16)+43-48,because I added 16 to the parentheses and multiplied that by 3, the coefficient.
y=3(x+4)^2-5
The vertex is at (-4, -5)
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C3x%5E2%2B24x%2B43%29