re-write in standard form y= (x+6)^2-12

Answer 1

To rewrite this we need to expand the terms. Are you having difficulty with this?

y = (x + 6)² - 12

First expand the polynomial

y = (x + 6)(x + 6) - 12

Next, distribute the terms. Multiply the first x with each term in the second set of parenthesis then multiply the 6 the same way. We could do a simple distribution to make it easier to understand.

y = x(x + 6) + 6(x + 6) - 12

Now multiply x with x and add that to x times 6. Do the same for the 2nd set.

Combine "like" terms, and simplify. For instance, 8a + a² + 5a + 11 = (8a + 5a) + a² + 11 = 13a + a² + 11 but standard form is typically the highest order polynomial first, i.e. a² + 13a + 11.

Good luck!

Answer 2

Standard form is y=ax² + bx + c

(x+6)² -12 = (x² +6x+6x+36) -12

= (x² +12x+36) -12

= x² +12x +24

Answer 3

Multiply the squared term out ( (x+6)(x+6) ) using the FOIL or box methods, subtract the 12, then combine like-terms and arrange in order of descending powers of x, y = ax² + bx + c (standard form).