The graph y=3x^2+5x+2 is shifted to the left by \(6\) units. The resulting graph has equation y=ax^2+bx+c. Find a+b+c
Adding 6 to x shifts things to the LEFT:
y = 3 (x+6)^2 + 5(x+6) + 2
y = 3x^2 +36x+ 108 + 5x + 30 + 2
y = 3x^2 + 41x + 140
Adding 6 to x shifts things to the LEFT:
y = 3 (x+6)^2 + 5(x+6) + 2
y = 3x^2 +36x+ 108 + 5x + 30 + 2
y = 3x^2 + 41x + 140