Question

Re-write the quadratic function below in Standard Form y = −2(x−6)(x−2)

Answer 1

Answer:

THE answer is y= -2x²+16x-24

Step-by-step explanation:

OK, so the standard form for an equation is ax²+bx+c

When you look at the equation we see that there is a -2 all by itself so we need too bring it within the parenthesis, so we'll distribute it..... so now instead of 2(x-6), we have -2x-12..........Why? because (2 times x is 2x and 2 times six is 12)

next when you write it ALL out, you get (-2x+12)(x-2) now we need to put this in the standard form by using the FOIL method  

F- first O-outer I-inner L-last..... so multiplying the First from both equations we get -2x², Outer is -2x times -2 which is 4 because two negatives make a positive, Inner is 12 times x which is 12x, Last is 12 times -2 whchis -24. Put them all together and you get. 2x²+12x+4x- 24, now we combine like terms (in bold) and we get -2x²+16x-24. Look at the standard form i gave above and see how the final answer matches

-2x²+16x-24

ax² +bx   + c