Answer: 
2. Vertex: (-5, 4) Focus: (-6, 4) Directrix: x = -4
<u>Step-by-step explanation:</u>
The vertex form of a parabola is y = a(x - h)² + k or x = a(y - k)² + h
- (h, k) is the vertex
- p is the distance from the vertex to the focus
- -p is the distance from the vertex to the directrix
1) y = (x + 3)² - 6 → a = 1 (h, k) = (-3, -6)
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4(2k - 3) + 1 = 8k - 11
8k - 12 + 1 = 8k - 11
8k - 11 = 8k - 11
So, these two equations equal to the same thing.
Glad I could help and gave a fantastic day!
Ok
so the focus is on the opening side of the parabola
so for a vertex of (h,k)
opening up and down
(x-h)²=4p(y-k)
p is the distance from vertex to focus
it is also the distance from the vertex to the closes point on directix
2p=distance from focus to directix
p is positive if the focus is above the directix
ok
y=9 and (7,6)
9>6
directix is above the vertex
p is negative
find distance
from 9 to 6 is 3
3=2p
1.5=p
p is negative
and the vertex will be 1.5 above the focus and 1.5 below the directix
vertex is (7,7.5)
(x-7)²=4(-1.5)(y-7.5) is de equation
For future reference, you could use Desmos for graphs. but should be (1,1)
Answer:
$172.50
Step-by-step explanation:
1150 * 0.15 = 172.5
