a. Sketch the graph of y = |x 2a|, where a is a positive constant. Show

Question:

a. Sketch the graph of y = |x − 2a|, where a is a positive constant. Show the coordinates of the points where the graph meets the axes.

b. Using algebra solve, for x in terms of a, |x − 2a| = 1/3x.

c. On a separate diagram, sketch the graph of y = a − |x − 2a|, where a is a positive constant. Show the coordinates of the points where the graph cuts the axes.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

See More Books

Question Posted: Aug 05, 2023 01:53 AM

See More Questions

The function f is defined by f : x |2x a|, {x }, where a is a positive constant. a. Sketch the graph of y = f(x), showing the coordinates of the points where the graph cuts the axes. b. On a...
a) Sketch the graph of y = g(x), where g(x) = 2 x . b) On separate diagrams, sketch the graphs of i) y = g(x + 2) ii) y = g(x) 1 iii) y = g(x) + 4 Mark on each sketch, where possible, the...
For each graph given, sketch the graph of the corresponding gradient function on a separate set of axes. Show the coordinates of any points where the curve cuts or meets the x-axis, and give the...
Aria Perfume, Inc.. sold 3,210 boxes of white musk soap during January of 2016 at the price of $90 per box. The company offers a full refund for any product returned within 30 days from the date of...
Explain what is meant by the sentence, A fund is a fiscal and an accounting entity.
A three-phase, Y-connected, 4.16 kV LL feeder has R = 200 m and X = 35 m, both per phase per 1000-ft. length. Determine the V drop per 1000 ft. per MVA load so that it can be easily reused for...
Apply the following inverse ln transformation to obtain the original value: eln value = exp(ln value).
Beta Company uses a standard cost accounting system. In 2014, 45,000 units were produced. Each unit took several pounds of direct materials and 2 standard hours of direct labor at a standard hourly...
7. Analyzing proposed changes in credit policy (Chapter 15) A credit policy covers how customers qualify for credit, the maximum amount of credit that customers are allowed, the terms of credit...
Prove [AB,C D] =- AC{D, B} + A{C, B}D - C{D, A}B + {C, A}DB.
a. Sketch the graph of y = |2x + a|, a > 0, showing the coordinates of the points where the graph meets the coordinate axes. b. On the same axes, sketch the graph of y = 1/x. c. Explain how your...
Four objects, each carrying a charge of magnitude $q$, are placed at the corners of a square measuring $d$ on each side. Two of the objects are positively charged, and two are negatively charged,...
A large-sized chemical company is considering investing in a project that costs `5,00,000. The estimated salvage value is zero; tax rate is 35 per cent. The company uses straight line method of...
From the following budgeted and actual figures, calculate and present the variances in respect of profit on sales and cost of sales. Budget: Sales, 2,000 units @ 15 each Cost of sales @ 12 each...
(a) From the following data of a manufacturing unit, find out (i) sales to break-even and (ii) sales to earn a profit of 8,000. (b) The following information is available for companies A and B. (i)...
Wowem Corporation manufactures a wide range of clothing apparel. It is a decentralized organization in which different divisions have responsibility for the manufacture and distribution of major...
(a) Use a molecular orbital program or input and output from software supplied by your instructor to construct a molecular orbital energy-level diagram to correlate the MO (from the output) and AO...
Find data on the percent of value of loans secured by collateral for all commercial and industrial loans (ESANQ) and the net percentage of domestic banks tightening standards for commercial and...
A bubble-point liquid feed is to be distilled as shown in Figure. Use the Edmister group method to estimate the mole-fraction compositions of the distillate and bottoms. Assume initial overhead and...
Identify a piece of information that you have gained through each of the sources of knowledge discussed in this chapter (superstition and intuition, authority, tenacity, rationalism, empiricism, and...
Provide an argument for the idea that basic research is as important as applied research.
Why is it a compliment for a scientist to be called a skeptic?
Break-Even Sales and Sales to Realize Income from Operations For the current year ending October 31, Yentling Company expects fixed costs of $537,600, a unit variable cost of $50, and a unit selling...
You buy a stock for $35 per share. One year later you receive a dividend of $3.50 per share and sell the stock for $30 per share. What is your total rate of return on this investment? What is your...
Filippucci Company used a budgeted indirect-cost rate for its manufacturing operations, the amount allocated ($200,000) is different from the actual amount incurred ($225,000). Ending balances in the...

a. Sketch the graph of y = |x 2a|, where a is a positive constant. Show

Question:

Step by Step Answer:

a Positive x graph with verte...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions