Question

omg can someone please just HELP ME!

Answer 1

using a directrix of y = -3 and a focus of (2,1) what quadratic function is created

Answer 2

y = -3 is 4 units away from y = 1 (the y coordinate of the focus) since |-3 - 1| = |-4| = 4

Cut this in half to get 4/2 = 2

Therefore the focal distance is p = 2. This means that the vertex is 2 units away from the focus. So we subtract 2 from the y coordinate of y = 1 to get 1-2 = -1

The vertex is (2,-1) ----> h = 2, k = -1

Now plug all this into the equation below

4p(y-k) = (x-h)^2

4(2)(y-(-1)) = (x-2)^2

8(y+1) = (x-2)^2

Answer 3

Optionally you can solve for y to get

8(y+1) = (x-2)^2

y+1 = (1/8)(x-2)^2

y = (1/8)(x-2)^2 - 1

Answer 4

Thank you so much..can you help with another one!

Answer 5

simplify y^2+7y +2/y^2-2y-15

Answer 6

is there a typo in the numerator?

Answer 7

oops yes

Answer 8

y^2 + 7y + 12/y^2-2y-15

Answer 9

are you able to factor the numerator?

Answer 10

idk :(

Answer 11

find two numbers that multiply to 12 and add to 7

Answer 12

4 and 3

Answer 13

so that means y^2 + 7y + 12 factors to (y+4)(y+3)

Answer 14

what does y^2-2y-15 factor to?

Answer 15

hmm thats tricky

Answer 16

@jim_thompson5910

Answer 17

find two numbers that multiply to -15 and add to -2

Answer 18

ahh ok I got it !!

Answer 19

so what does it factor to?

Answer 20

y+4/y-5

Answer 21

hey what is it called for htis

Answer 22

This is the multiplication of two rational expressions

Answer 23

First multiply straight across. Then reduce the fraction as much as possible

Answer 24

what about the diff variables?

Answer 25

you would leave them be

in the numerator, you would multiply the coefficients 15 and 6 to get 90

in the denominator you'll have 20*5 = 100

Answer 26

so far, you have

90x^6y^2
------------
100x^4y^5

Answer 27

Now reduce

Answer 28

um...im lost. ..I can only reduce if the bigger num is on top

Answer 29

90/100 reduces to ???

Answer 30

9 and 10

Answer 31

9/10, yep

Answer 32

x^6/x^4 reduces to???

Answer 33

3 and 2!!

Answer 34

subtract the exponents

Answer 35

6-4 = 2

so, x^6/x^4 = x^2

Answer 36

for the y terms, 5-2 = 3

because the bigger term is in the bottom, we'll have y^3 in the bottom

Answer 37

that means the final answer is


9x^2
----------
10y^3

Answer 38

oooh yeaaah! thanksss

Answer 39

you're welcome