There exist constants a, h, and k such that 3x^2 + 16x + 4 = a(x - h)^2 + k.
for all real numbers x. Enter the ordered triple (a,h,k)
+23252 Placing the expression into graphing form:
y = 3x2 + 16x + 4
y - 4 = 3x2 + 16x Place the 4 on the other side
y - 4 = 3(x2 + 16/3x ) Factor out the 3
y - 4 + 64/9 = 3(x2 + 16/3x + 64/9) Complete the square
y + 28/9 = 3(x2 + 16/3x + 64/9) Simplify
y + 28/9 = 3(x + 8/3)2 Factor
y = 3(x + 8/3)2 - 28/9 Rewrite
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