Question: A parabola with an equation in the form y = ax2 + bx + c passes through the points (-2, -32), (1, 7), and (3,

A parabola with an equation in the form y = ax2 + bx + c passes through the points (-2, -32), (1, 7), and (3, 63).
a. Set up systems and use matrices to find the values of a, b, and c for this parabola.
b. Write the equation of this parabola.
c. Describe how to verify that your answer is correct?

Step by Step Solution

★★★★★

3.46 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a a 3 b 16 c 12 First substitute the coordinate pairs ... 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

Document Format (1 attachment)

940-L-A-L-S (3545).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

A 10-lb uniform square plate is supported by two identical 3-lb uniform slender rods AD and BE. It is held in the position shown by rope CF. Determine, immediately after rope CF has been cut, (a) The...

Set up and solve an appropriate system of linear equations to answer the questions. From elementary geometry we know that there is a unique straight line through any two points in a plane. Less well...

1. In previous chapters you made connections between equations and their graphs. For example, the graph of an equation in the form y = a + bx is a line, and the graph of an equation in the form y =...

Given that y = (4/5)x, write an equivalent equation in the form y = b-x, with b > 1.

16. [/2 Points] LARPCALC11 2.PS.003. 0/6 Submissions Used At a glassware factory, molten cobalt glass is poured into molds to make paperweights. Each mold is a rectangular prism whose height is 2...

Firefox File Edit View History Bookmarks Tools Window Help P 33% Tue 10:00 AM A Homework #2 - MAT 135, section X + C O &...

Problem:- 1 another type of regression besides the linear and exponential kinds that were covered in class. A town is holding its annual music festival six months from now. Based on last year's...

2/1/2016 NS116 Unit 5a Assignment Mandie AdlerMOL NS116 (6 Week), section XM1A, Winter 2016 Instructor: Linda Desjardines WebAssign NS116 Unit 5a Assignment (Homework) Current Score : - / 20 Due :...

\f\f\fF: y-intercept F: vertex 10. The final equation y = (-x + 2)(-2x - 4) is not yet in fully factored form though it shows two factors. Write the equation in fully factored form. What information...

11. Each quadratic function is given in standard form, y = ax2 + bx + c. Complete the table. What in the equation tells you whether the equation opens Standard Form, Opens (up up or down? y = ax2 +...

Task 1: Knowledge (25 marks) 1. Complete the following table: (10 marks) Equation in y = x2 y = -(x+5)2-3 y = 3x2 +4 vertex form a = h = k = Opens up or down? Compressed or stretched vertically?...

The Hardigree Hamburger chain is a closely held corporation with 400,000 shares of common stock outstanding. The owners would like to take the company public by issuing another 600,000 shares and...

Generally, which of the following statements concerning workers compensation laws is correct? The amount of damages recoverable is based on comparative negligence.Employers are strictly liable...

The strategic portion of the also involves staffing the strategic initiatives. functional IT budgets fiscal IT budgets capital budgets operations budgets

Riverbed Corporation issued a 5-year, $82,000, zero-interest-bearing note to Brown Company on January 1, 2020, and received cash of $48,663. The implicit interest rate is 11%. Prepare Riverbeds...

(a) Write down two 2x 2 non-zero matrices A and B such that AB = 0, the 2 x 2 zero matri (b) Given A = write down the elementary matrices E and E2 such that E, A = 7 10 and E2A = (c) Given A = write...

what is power and what happen when misuse of power?(450 words)

Place an X in the Column for the financial statement where each is reported. It is possible for items to be reported on two statements. Income Balance Statement of Statement of Statement of Statement...

Discuss how the following changes in aggregate demand or aggregate supply are likely to affect the level of output and the price level in the short run. a. An increase in aggregate demand. b. A...

Oscar sells Internet access subscriptions by telephone. He receives 12% of the first $1,000 and 15% on the balance over $1,000. Last month he sold $7,500 worth of Internet access subscriptions. What...

How can the quote be interpreted in light of what you have learned?

The spreadsheet calculates a yearly pension. Users enter the pension percentage as a percent in cell B1, the number of years worked in cell B2, and the last four working years' salaries in cells...

Problem 12-6 Calculating Cost of Debt [LO 2] ICU Window, Inc., is trying to determine its cost of debt. The firm has a debt issue outstanding with seven years to maturity that is quoted at 112...

Suppose you just turned 30 years old, expect to retire in 35 years at age 65, and then to live for 20 more years until age 85. Your pre-tax salary this year is $100,000 (paid at the end of this year)...

Mills Mining is considering an expansion project. The proposed project has the following features. The project has an initial cost of $607--this is also the amount which can be depreciated using the...