Answer:
Step-by-step explanation:
we know that distance d from the focus to P should be the same to the distance from P to the directrix
(x-h)^2=4p(y-k)
we need to find the y coordinate,
x is the same from focus, 3
y=(3, (4+2)/2)=(3,3)
we find p now by subtracting the y from the focus from the y that we just found
p=4-3=1
again (x-h)^2=4p(y-k), p=1
(x-3)^2=4(1)(y-3)
(x-3)^2=4(y-3), (x-3)^2=4y-12
simplify
4y=(x-3)^2+12
y=((x-3)^2)/4 + 3
Answer:
Solution given:
f(x) = x-2
let f(x)=y
y = x-2
interchanging role of x and y
x= y-2
x+2= y
y=9(x+2)
y=9x+18
So
<u>F</u><u>-</u><u>¹</u><u>(</u><u>x</u><u>)</u><u>=</u><u>9</u><u>x</u><u>+</u><u>1</u><u>8</u>
<u>a</u><u>n</u><u>d</u>
<u>F</u><u>-</u><u>¹</u><u>(</u><u>-</u><u>1</u><u>)</u><u>=</u><u>9</u><u>*</u><u>-</u><u>1</u><u>+</u><u>1</u><u>8</u><u>=</u><u>-</u><u>9</u><u>+</u><u>1</u><u>8</u><u>=</u><u>9</u>
The function has a maximum at (1, 3).
_____
You know it is not a minimum because the coefficient of the squared term is negative.
You know the vertex is (1, 3) because you match the pattern to
.. y = a(x -h)^2 +k
which has its vertex at (h, k).
Answer:
37.25, 35.5, 33.75, <u>32</u>, <u>30.25</u>.
Step-by-step explanation:
Subtract the first term from the second term:
35.5 - 37.25 = -1.75
Subtract the second term from the third term:
35.5 - 33.75 = -1.75
The common difference is -1.75.
To find each subsequent term, add the common difference to the current term.
33.75 + (-1.75) = 32
32 + (-1.75) = 30.25
Answer:
37.25, 35.5, 33.75, <u>32</u>, <u>30.25</u>.