- Home >
- Mathematics >
- Find the vertex, focus, and directrix of each parabola with the given equation.
Mathematics
Find the vertex, focus, and directrix of each parabola with the given equation.
Question Description
(x - 2)2 = 8(y - 1)
A. Vertex: (3, 1); focus: (1, 3); directrix: y = -1
B. Vertex: (2, 1); focus: (2, 3); directrix: y = -1
C. Vertex: (1, 1); focus: (2, 4); directrix: y = -1
D. Vertex: (2, 3); focus: (4, 3); directrix: y = -1

Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service.
Final Answer

Thank you for the opportunity to help you with your question!
A. Vertex: (3, 1); focus: (1, 3); directrix: y = -1
...............best please..........
Please let me know if you need any clarification. I'm always happy to answer your questions.
Duke University
Completion Status:
100%
Review
Review

Anonymous
Nice! Really impressed with the quality.

Studypool
4.7

Trustpilot
4.5

Sitejabber
4.4
Similar Questions
Simplifying Expressions
Read the following instructions in order to complete this assignment and review the example of how to complete the math re...
Simplifying radicals
Simplifying Radicals simplify and compare equivalent expressions written both in radical form and with rational (fraction...
Parallel & Perpendicular Discussion - 250 words needed - example attached
Parallel and PerpendicularMAT221.W3.DiscussionExample.pdf Read the following instructions in order to complete this discu...
Two-Variable Inequality 2-3 Pg paper - Example attached
MAT221.W3.AssignmentExample.pdf Read the following instructions in order to complete this assignment and review the exam...
complete the following assignment
composition and inverse.docx...
Solving Quadratic Equations
In this discussion, you will solve quadratic equations by
two main methods: factoring and using the Quadratic Formula. Rea...
Related Tags
Book Guides
Macbeth
by William Shakespeare
Frankenstein
by Mary Shelley
The Eyes Were Watching God
by Zora Neale Hurston
The Age of Innocence
by Edith Wharton
Good Kids Bad City
by Kyle Swenson
The 48 Laws of Power
by Robert Greene
The Girl With The Dragon Tattoo
by Stieg Larsson
The Curious Case of the Dog in the Night Time
by Mark Haddon
The Underground Railroad
by Colson Whitehead

Studypool values your privacy. Only questions posted as Public are visible on our website.
Most Popular Answers

Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Read the following instructions in order to complete this assignment and review the example of how to complete the math required for this assignment:Read the article about Body Mass Index (BMI) on page 151 of Elementary and Intermediate Algebra. ( see below) Use the formula given using pounds and inches for finding the BMI at
the end of the first paragraph for the following four intervals:17 < BMI <= 22 might have a longer life span than average 23 < BMI <= 25 probably not overweight25 < BMI <= 30 probably overweight BMI > 30 obese You will use your height to plug into the
formula to solve for W, the weight range that will go with each
category. You may prefer to solve the formula for the variable W before
plugging in values, which is fine.
Write a two- to three-page paper that is formatted in APA style and according to the Math Writing Guide.
Format your math work as shown in the Instructor Guidance and be
concise in your reasoning. In the body of your essay, do the following:Demonstrate your solution to the above problem, making sure to include all mathematical work.Explain why the computed weight ranges could be misleading.Choose one of the four BMI regions and
express the region using set notation and interval notation. Include a
simple graph of the region. Please see the example for some ideas of how
to do this. Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; but integrate them into your discussion):Inequality Equivalent Compound inequality Interval Infinity page 151 of Elementary and Intermediate AlgebraMedical professionals say that
two-thirds of all Americans are overweight and excess weight has about
the same effect on life expectancy as smoking. How can you tell if you
are overweight or normal? Body mass index (BMI) can help you decide. To
determine BMI divide your weight in kilograms by the square of your
height in meters. Don't know your weight and height in the metric
system? Then use the formula BMI = 703W/H2, where W is your weight in pounds and H is your height in inches.
If 23 < BMI < 25, then you are
probably not overweight. If BMI ≥ 26, then you are probably overweight
and are statistically likely to have a lower life expectancy. According
to the National Heart, Lung, and Blood Institute, you are overweight if
25 < BMI < 29.9 and obese if BMI ≥ 30. If your BMI is between 17
and 22, your life span might be longer than average. Men are usually
happy with a BMI between 23 and 25 and women like to see their BMI
between 20 and 22. However, BMI does not distinguish between muscle and
fat and can wrongly suggest that a person with a short muscular build is
overweight. Also, the BMI does not work well for children, because
normal varies with age.
If you want to learn more about body
mass index or don't want to do the calculations yourself, then check out
any of the numerous websites that discuss BMI and even have online BMI
calculators. Just do a search for body mass index.

Algebra - Initial Investment Discussion 250 words needed
Algebra - Initial Investment Discussion 250 words needed
MAT221.W4.DiscussionExample.pdf Formula to use:P A(1 r)n.Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment:Think of something you want or need for which you currently do not have the funds. It could be a vehicle, boat, horse, jewelry, property, vacation, college fund, retirement money, or something else. Pick something which cost somewhere between $2000 and $50,000.On page 270 of Elementary and Intermediate Algebra you will find the “Present Value Formula,” which computes how much money you need to start with now to achieve a desired monetary goal. Assume you will find an investment which promises somewhere between 5% and 10% interest on your money and you want to purchase your desired item in 12 years. (Remember that the higher the return, usually the riskier the investment, so think carefully before deciding on the interest rate.)State the following in your discussion: The desired itemHow much it will cost in 12 years The interest rate you have chosen to go with from part 2Set up the formula and work the computational steps one by one, explaining how each step is worked, especially what the negative exponent means. Explain what the answer means.Does this formula look familiar to any other formulas you are aware of? If so, which formula(s) and how is it similar?Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.): Power Reciprocal Negative exponent Position Rules of exponentsYour initial post should be 150-250 words in length.

Algebra 2-3 pg paper on Financial Polynomials
Algebra 2-3 pg paper on Financial Polynomials
MAT221.W4.AssignmentExample.pdf Financial PolynomialsRead the following instructions in order to complete this assignment and review the example of how to complete the math required for this assignment:Solve problem 90 on page 304 of Elementary and Intermediate Algebra. Be sure that you show all steps of the squaring of the binomial and multiplication along with any simplification which might be required.Evaluate the polynomial resulting from step 1 using: P = $200 and r = 10%, and also with P = $5670 and r = 3.5% Complete problem 70 on page 311 of Elementary and Intermediate Algebra. Show all steps of the division. Write a two- to three-page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the Instructor Guidance and be concise in your reasoning. In the body of your essay, please make sure to:Demonstrate your solution to the above problems, making sure to include all mathematical work and a discussion of how and why this is applicable to your everyday life.Use the underline feature with single spacing to set up the division(s), and use the “strikethrough” font to show the canceling factors. Can you think of another way this division could be approached and worked out? If yes, briefly describe the method. Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):FOILLike terms Descending order Dividend Divisor
Have a homework question? Get help from verified tutors now!