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5 votes
Expand and simplify y = 3(x – 6)2 + 4

User Balastrong
by
8.3k points

2 Answers

2 votes

Answer:


y = 6x - 32

Explanation:


y = 3(x - 6)2 + 4


y = 3 * 2(x - 6) + 4


y = 6(x - 6) + 4


y = 6x - 36 + 4


y = 6x - 32

User DonSaada
by
7.7k points
1 vote

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.

User Graeme Mathieson
by
8.4k points

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