Question 1032821
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(300,200,-10,10,-10,10,3x^2+24x+43)}}}