A curve has equation y = x 2 + 6x + 8. a. Sketch the curve, showing

Question:

A curve has equation y = x² + 6x + 8.
a. Sketch the curve, showing the coordinates of any axes crossing points.

b. The curve is translated by the vector

then stretched vertically with stretch factor 3.

Find the equation of the resulting curve, giving your answer in the form y = ax² + bx.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 09, 2023 05:43 AM

See More Questions

A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(3, f(3)) and Q(x, f(x)). (b) Write an expression for the slope of the tangent line at P.
A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(3, f(3)) and Q(x, f(x)). (b) Write an expression for the slope of the tangent line at P.
A curve has equation y = x 2 4x + 4 and a line has the equation y = mx, where m is a constant. i. For the case where m = 1, the curve and the line intersect at the points A and B. Find the...
The following is a symbolic microprogram for an instruction in the computer defined in Sec. 7-3. a. Specify the operation performed when the instruction is executed. b. Convert the four...
Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they...
Refer to the information in Problem 17-39. Suppose that Hoffman Company uses the FIFO method instead of the weighted-average method in all of its departments. The only changes to Problem 17-39 under...
An HR consultant gives an applicant a 75% chance of getting a job after registering with his agency. If the applicant gets a job, then there is a 60% possibility that he would be satisfied and would...
The manufacturing division manager of Davison Enterprises has submitted the following production forecast (in units) for each quarter of the next fiscal year. The plant produces seats for...
The Court of Appeal case between Chan Sze Ying and the Management Corporation Strata Title Plan No 2948. Lee Chuen T'ng intervened in the case. The case involves an Originating Summons related to...
Waldon Corporation's balance sheet shows that the company has $600,000 invested in operating assets. During 2010, Waldon earned $120,000 on $960,000 of sales. The company's desired return on...
For each of the following functions, find an expression for f 1 (x) and, hence, decide if the graph of y = f(x) is symmetrical about the line y = x. a. b. c. d. f(x): = x + 5 2x - 1 for x ER, x 7 1
Given that y = x 2 , find the image of the curve y = x 2 after each of the following combinations of transformations. a. A stretch in the y-direction with factor 3 followed by a translation by the...
Use Holt-Winters multiplicative method to create a seasonal model that minimizes the MSE for the data set. Use Solver to determine the optimal values of a, b, and g. a. What are the optimal values of...
Demonstrate the ability to identify, research and analyze an accounting issue Develop a persuasive argument supporting your position on the accounting issue Understand the complex nature of...
? In this project, we intend to analyze the financial feasibility of opening a new small burger restaurant in downtown Victoria, British Columbia (BC). Burger restaurants are part of the fast-food...
You have a client who is considering purchasing some heavy equipment for her business. She has heard about bonus depreciation. She asks whether she should use bonus depreciation or provisions, or if...
Using our Aggregate Demand/Aggregate supply model, describe how the following events would affect aggregate demand or aggregate supply, and in turn affect real output and the price level. Post...
A laboratory has won a 15,000 research grant to be used to purchase equipment that will aid the research of the eight researchers who use the facility. From discussion with the researchers, the...
John is a salesman for the local car dealership. He can divide his 40-hour work week between talking to customers that walk in the door and calling possible prospects. Let W be the number of hours...
Draw the major product for each of the following reactions: (a) (b) (c) 1) 9-BBN 2) H2O2, NaOH 1) Disiamylborane 2) H20, NaOH
Two independent random variables are X ~ Geo(0.3) and Y ~ Geo(0.7). Find: a. P(X = 2) b. P(Y = 2) c. P(X = 1andY = 1).
A standard deck of 52 playing cards has an equal number of hearts, spades, clubs and diamonds. A deck is shuffled and a card is randomly selected. Let X be the number of cards selected, up to and...
Gina has been observing students at a university. Her data indicate that 60% of the males and 70% of the females are wearing earphones at any given time. She decides to interview randomly selected...
How do psychosocial factors such as job demands, control, support, and reward influence the experience and perception of stress in the workplace, and what strategies can organizations employ to...
Polymorphism desing class called mobiledevice wich will inherent classes Tablet, Celular , Laptop. The class mobiledevice will have as a attributes model,MemoyCapacity double ,keyboard and screen....
In what ways does organizational culture and climate impact stress levels among employees, and how can leaders foster a culture of psychological safety, work-life balance, and proactive stress...

A curve has equation y = x 2 + 6x + 8. a. Sketch the curve, showing

Question:

୯

Step by Step Answer:

a To sketch the curve y x2 6x 8 we can complete the square to rewrit...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions