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
Answer:
less
Step-by-step explanation:
5/10 is equal to one half, but 4/10 is less than one half
Answer:
the answer is 7
Step-by-step explanation:
Add the same term to both sides of the equation
-x=7x-56
−x=7x−56
−x−7x=7x−56−7x
Well I don't know. Let's figure it out together.
You said (a number) divided by 12 gives you 9 .
A fraction is the easiest way to show division, so
you can write this equation:
(number) / 12 = 9
Now you can multiply each side of the equation by 12 .
When you do that, you have ...
number = 9 x 12
<em>number = 108</em> .
Now you know how to find it. That's even better than just
having the answer.
