1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inn [45]
3 years ago
10

Find the coordinates of the focus and equation of the directrix for the parabola given by

Mathematics
2 answers:
Romashka [77]3 years ago
5 0

Answer:

The answers to your three problem question are shown

1) the value of p is

p = -1

2) The coordinates of the focus are

Focus =  (-1,0)

3) The equation of the directrix is

Directrix

x = 1

Step-by-step explanation:

The general equation for this parabola is

y^2 = 4px

Problem 1

Find the value of p.

We are told that the equation of the problem is

y^2 = -4x

And the general formula is

y^2 = 4px

From there, we can deduce that

p = -1, because

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

This means that p = -1

Problem 2

Find the focus

To find the focus we can see the equations attached below for the focus, vertex and directrix.

In these case, the equations still apply, even though the variable is inverted, we just need to adjust it

y^2 = -4x =>

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

x = a*y^2 + b*y +c

Focus

((4ac -b^2  + 1)/4a, -b/2a)

But, b = 0 and c = 0

=>

(1/4a,0) = (1/4(-1/4),0) = (-1,0)

Focus =  (-1,0)

Problem 3

Find the directrix

The equation is

x = c - (b^2 + 1).4a

But, b = 0 and c = 0

x = -4*a

x = -4* (-1/4) = 1

x = 1

Directrix

x = 1

sukhopar [10]3 years ago
4 0

Answer: P is -1

Focus is (-1,0)

Directrix is X= 1

You might be interested in
At the end of a Pizza party 1/3 of a cheese pizza and 1/6 of a pepperoni pizza or left brand ate 1/2 of all the leftover pizza w
Zina [86]

Answer:

1/6

Step-by-step explanation:


4 0
3 years ago
Please help I'm not vary good at math.​
baherus [9]
I hope you find it helpful

3 0
2 years ago
For the function f(x)=(1/2)⋅6^x , identify the domain, range, y-intercept, and asymptote.
skelet666 [1.2K]

Answer:

Step-by-step explanation:

f(x) = (1/2) *6^x = 2^-1 * 2^x *3^x

y= 2^ (x-1) * 3^x

Domain represents all values that x can have and is all real numbers

Range all values that y can have and is y > 0 ( all real numbers that are positive)

The y-intercept is the point where the graph intersects the y-axis so x=0 there

y = 2^(0-1) *3^0 = 1/2 *1 = 1/2

the asymptote is at y= 0

6 0
2 years ago
HELLPPPP!! GIVING ALL MY POINTS FOR THIS QUESTION!<br> Identify m∠AMB.
Arlecino [84]

Answer:

I think it is the 3 one

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How close together can two prime numbers be if they are both greater than 5? Why can they not be closer?​
dalvyx [7]

Answer:

2 numbers apart (17 and 19)

Step-by-step explanation:

Eaxh other number is even, and 5, 3, and 9 are sometimes not prime. 1 is prime though.

Hope this helps!

7 0
2 years ago
Other questions:
  • Rita and Bernie both play the same online game. In today's play, Rita earns 6 points 3 times and loses 4 points twice.
    11·1 answer
  • Factor the expression. 8g^3+10g^2-12g-15
    5·1 answer
  • What else would need to be congruent to show that ABC = XYZ by SAS?
    9·1 answer
  • If a line with a slope of 6 crosses the y-axis at (0,-4), what is the equation of the line?
    15·2 answers
  • Jill filled up the gas tank in her new hybrid car.Jill put 10.3 gallons of gas in her car and she has driven 473.8 miles. Determ
    8·1 answer
  • HELP ME PLEASE IF YOU WANT :(
    7·2 answers
  • Use the information angle 8 is congruent to angle 11 to determine which lines are parallel.
    14·2 answers
  • 7TH GRADE MATH ASAP. Liam is setting up folding chairs for a meeting. If he arranges the chairs in 8 rows of the same length, he
    10·1 answer
  • How fast does Santa's sleigh travel how fast would Santa have to travel to get to every house in the UK in m/s the average dista
    7·1 answer
  • Three students found the mean of the data set given. Their work is shown below. Choose the student who correctly found the mean.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!