The answers should be 1, 1, 0, 0
After you've calculated a least common multiple, always check to be sure your answer can be divided evenly by both numbers. Find the LCM of these sets of numbers. Multiply each factor the greatest number of times it occurs in any of the numbers. 9 has two 3's, and 21 has one 7, so we multiply 3 two times, and 7 once.
The sequence is to multiply by -3. Therefore, you want to multiply by -3 which gives you 108. Since it is a negative by a positive the answer would be negative. The next term would be -108.
The answer in 27 $$$$$$$$$$$$$$$$$$$$$$$$
Answer:
Step-by-step explanation:
I used logic and took the easy way around this as opposed to the long, drawn-out algebraic way. I noticed right off that at x = -3 and x = -1 the y values were the same. In the middle of those two x-values is -2, which is the vertex of the parabola with coordinates (-2, 4). That's the h and k in the formula I'm going to use. Then I picked a point from the table to use as my x and y in the formula I'm going to use. I chose (0, 3) because it's easy. The formula for a quadratic is

and I have everything I need to solve for a. Filling in my h, k, x, and y:
and
and
-1 = 4a so

In work/vertex form the equation for the quadratic is

In standard form it's:
