Question: Given three noncollinear points, we can find an equation of the form x = ay2 + by + c of the horizontal parabola joining them

Given three noncollinear points, we can find an equation of the form x = ay2 + by + c of the horizontal parabola joining them by solving a system of equations. Work Exercises in order, to find the equation of the horizontal parabola containing the points (-5, 1), (-14, -2), and (-10, 2).

Write three equations in a, b, and c, by substituting the given values of x and y into the equation x = ay² + by + c.

Step by Step Solution

★★★★★

3.46 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The equation is of the form xay byc Sub... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related College Algebra Questions!

In Exercises 1-4, find an equation of the line passing through the pair of points. Sketch the line. 1. (5, 1), (5, 5) 2. (4, 3), (4, 4) 3. (7, 2), (7, 5) 4. (6, 3), (2, 3)

Find an equation of the slant asymptote. Do not sketch the curve. 2x + x? + x + 3 56. y = x + 2x 5x4 + x2 + x 58. y = x - x? + 2 x? + 1 55. y = = x +1 4x - 2x? + 5 57. y= 2x +x - 3

Find an equation of the curve that satisfies dy/dx = 4x3y and whose -intercept is 7.

Given three noncollinear points, there is one Ay + and only one circle that passes through them. 20- Knowing that the equation of a circle may be 15- written in the following form, find the equation...

1. [-11 Points] DETAILS LARPCALC10 10.2.014. Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. Focus (-4.5, 0) Need Help? 2. [-/1...

wang (zw3676) - Homework 5 - spice - (56145) This print-out should have 23 questions. Multiple-choice questions may continue on the next column or page - nd all choices before answering. 1 List the...

Exam: 8.07a Module Eight Practice Test Warning There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost....

3. Find an equation of the line that contains the points (-4, -5) and (2, -5). Write your answer in slope intercept form. Circle your final answer. y = - 5 horizontal line 4. Write an approximate...

Imagine that you must counsel a couple considering in vitro fertilization using donor ova to overcome infertility. What medical and ethical risks would you raise?

Presented below is the balance sheet for the Flying High Company as of March 31, 2021: Flying High Company Balance Sheet As of March 31, 2021 Assets Cash Accounts Receivable Merchandise Inventory...

Utah Bank's bid price for Canadian dollars is $ 0 . 7 9 6 and its ask price is $ 0 . 8 1 3 . What is the bid / ask percentage spread? Answer as a percent rounded to two decimal places.

=+ 6. Explain each of the five approaches to product positioning and offer an example (not in the text) for each approach.

In Problems 1520, graph each rational function following the seven steps given on page 367. Steps for Graphing a Rational Function R STEP 1: Factor the numerator and denominator of R. Find the domain...

In Problems 1518, solve the inequality by using the graph of the function. Solve R(x) 0, where R(x) 2x + 4 x - 1'

In Problems 522, graph each polynomial function by following Steps 1 through 5. f(x) = (x + 1) 3 (x - 3) Steps for Graphing a Polynomial Function STEP 1: Determine the end behavior of the graph of...

Problem 10-13 Consider the following data for three different companies: ($000 Omitted) Owens Arrow Alpha Net cash provided (used) by: Operating activities $(2,000) $2,700 $(3,000) Investing...

1. An overview of a firm's cost of debt To calculate the after-tax cost of debt, multiply the before-tax cost of debt by Andalusian Limited (AL) can borrow funds at an interest rate of 10.20% for a...

In its 2011 income statement, Jefferson Inc. repeated net income of $1,430 and depreciation expense of $230. On its 2012 income statement, the company reported net income of $2,310 and depreciation...