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
Anika [276]
3 years ago
13

Identify the vertex, focus, and directrix. y=1/8y^2

Mathematics
1 answer:
Brut [27]3 years ago
6 0
If all the equations for the directrix are "x = " lines then this is a y^2 parabola.  The actual equation is x= \frac{1}{8}y^2.  The standard form for a positive sideways-opening parabola is  (y-k)^2=4p(x-h).  We know from the equation that the vertex of the parabola is at the origin, or else the translation would be reflected within the parenthesis in the equation.  Our equation has no parenthesis to indicate movement from the origin.  The vertex is (0, 0).  Got that out of the way.  That simplifies our standard form down to  y^2=4p(x).  Let's take a look at our equation now.  It is  x= \frac{1}{8}y^2.  We could rewrite it and make it a closer match to the standard form if we multiply both sides by 8 to get rid of the fraction.  That gives us an equation that looks like this:  y^2=8x.  That means that 4p = 8, and p = 2.  p is the distance that the focus and the directrix are from the vertex.  Since this is a positive parabola, it opens up to the right.  Which means, then, that the focus is to the right of the vertex, 2 units to be exact, and the directrix is 2 units to the left of the vertex.  The formula for the focus is (h + p, k).  Our h is 0, our k is 0 and our p is 2, so the coordinates of the focus are (2, 0).  Going 2 units to the left of the origin then puts our directrix at the line x = -2.  Your choice then as your answer is b. 
You might be interested in
a carpenter has a wooden stick that is 84 centimeters long. She cuts off 25% from the end of the stick. then she cuts the remain
Karo-lina-s [1.5K]
She cuts off 21 cm. this leaves 63cm. cut into 6 equal pieces gives 10.5 cm pcs
3 0
2 years ago
How do i round 981,657 to the nearest ten thousand ?
Arlecino [84]
Since it is under 985,000, you would round it down. So your answer rounded to the nearest ten thousand would be 980,000
6 0
3 years ago
What is the value of 8 plus (27 divided by 9) power of two
saw5 [17]

Answer:

8+ (27/9)2 = 17

4 0
3 years ago
A bike wheel with a diameter of 14 inches makes 100 rotations. How far does the bike go?
mars1129 [50]
1,400 inches or 116.7 feet
4 0
3 years ago
What is the product of 13 and 15
White raven [17]

Answer:

195

Step-by-step explanation:

13 * 15 = 195

4 0
3 years ago
Other questions:
  • Which of the following ordered pairs are solutions to the system of equations below?
    15·1 answer
  • I need help with the question attached. Please help me!
    13·1 answer
  • 2. Ron Co. sold sweatshirts ($20) and baseball caps ($10). If total sales were $2,860 and people bought 6 times as many sweatshi
    9·1 answer
  • Help.me please rn❤️❤️❤️❤️❤️❤️❤️
    11·1 answer
  • 40% discount on all items <br><br> What is the discount on $60
    13·1 answer
  • Thomas paid a one-time registration
    13·2 answers
  • A car traveled 180 at constant rate. Write an equation that would make it easy to find the rate at which the car was traveling i
    14·1 answer
  • Is it rational or irrational?​
    12·1 answer
  • Select ALL the correct answers,
    13·2 answers
  • I need an answer as soon as possible
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!