What is the focus of the parabola given by the equation y = x2 − 2x − 3?
y = x2 − 2x − 3
y = x2 − 2x − 3 -1 +1y = (x - 1)^2 - 4 h = 1 and k = - 4 and a = 1
Vertex (a, k) so it is (1,-4)
Now focus is
(1, -4 + 1/4) = (1,-3 3/4)
or
(1,-3.75)
Answer:
Up by 3 units, right by 9 units.
Step-by-step explanation:
The subtraction in (x-9)^2 makes the function shift to the right, adding would make it shift left! Adding numbers to the equation would make the function go up, and subtracting would make it go down. Hope this helps :)
Multiply both sides by 8. Then divide both sides by 3. Answer is 8/3
Answer:
10th of June is their mother's birthday
kimberly remembers that her mother's birthday is after 6th but before 11th of june.
- after 6 is 7, before 11 is 10.
her sister sarah remembers that her mothers birthday is before 16th and after 9th of june.
- before 16 is 15, after 9 is 10.
10 are common on both cases