Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
First you have to find a common denominator which would be 24.
5/6 = 20/24
7/8 = 21/24
5/8 = 15/24
So your final answer would be 7 over 8.
Answer:
The coordinates are 3,1
Step-by-step explanation:
i did the assignment and it js correct
Answer:
see below
Step-by-step explanation:
1. 10/16=5/6
2.14/63=2/9
3.6/14= 3/7
4.6/24= 1/3
5.7/70=1/10
6.5/10=1/2
7. 9/27= 1/3
8.6/72=1/12
9.6/27=1/3
10. 14/35= 2/5
11.12/24= 1/2
12.5/40=1/8
13.36/40=9/10
14.28/35=4/5
Dude that’s not an answer
