Answer:
y = 3x² – 36x + 112
Explanation:
We can expand and simplify the quadratic equation y = 3(x – 6)² + 4 by multiplying out squared value in the parentheses.
y = 3(x – 6)² + 4
y = 3(x – 6)(x – 6) + 4
y = 3(x² – 6x – 6x + 36) + 4
y = 3(x² – 12x + 36) + 4
Note: We could have also used the formula: (x – a)² = x² – 2a + a²
Now, we can apply the distributive property: A(B + C) = AB + AC
y = 3(x² – 12x + 36) + 4
y = 3x² – 36x + 108 + 4
Finally, we can simplify by adding 108 and 4.
y = 3x² – 36x + 112
We cannot simplify the equation further because the expression on the right side: 3x² – 36x + 112, is not factorable.