Describe the pattern in the numbers. Write the next number.
3. -6, -1, 4, 9, ...

14

Step-by-step explanation:

When looking at a sequence, look at the difference between each number. If you look at the first 4 numbers, you will observe:

-6 + 5 = -1

-1 + 5 = 4

4 + 5 = 9

Therefore, the next number must be 9 + 5 = 14.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.