a. Express f(x) in the form a(x + b) 2 + c. f(x) = 2x 2
Question:
a. Express f(x) in the form a(x + b)2 + c.
f(x) = 2x2 − 8x + 5 for x ∈ ℝ, 0 ≤ x ≤ k
b. State the value of k for which the graph of y = f(x) has a line of symmetry.
c. For your value of k from part b, find the range of f .
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
a To express fx in the form ax b2 c we need to complete the square fx 2x2 8x 5 2x2 4x 5 2x2 4x 4 4 5 ...View the full answer
Answered By
FELIX NYAMBWOGI
I have been tutoring for over 5 years, both in person and online. I have experience tutoring a wide range of subjects, including math, science, English, and history. I have also worked with students of all ages, from elementary school to high school.
In addition, I have received training in effective tutoring strategies and techniques, such as active listening, questioning, and feedback. I am also proficient in using online tutoring platforms, such as Zoom and Google Classroom, to effectively deliver virtual lessons.
Overall, my hands-on experience and proficiency as a tutor has allowed me to effectively support and guide students in achieving their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
The measurements in the table at right are from coins minted in Rome during first three centuries AD. Historians believe that different mints reveal themselves in different trace element profiles in...
-
a. State the smallest value of k for which f has an inverse. f(x) = 9 (x 3) 2 for x , k x 7 b. For this value of k: i. Find an expression for f 1 (x) ii. State the domain and range of f 1 .
-
a. Express 5 sin 2 x 2 cos 2 x in the form a + b sin 2 x. b. State the range of the function f(x) = 5 sin 2 x 2 cos 2 x for 0 x 2.
-
From the following facts, calculate the correct cost of inventory for Sue Company. Cost of inventory on shelf, $4,500, which includes $280 of goods received on consignment. Goods in transit en...
-
The U.S. National Oceanic and Atmospheric Administration publishes temperature data in Climatography of the United States. According to that document, the annual average maximum and minimum...
-
Fordham Corporation produces a single product. The standard costs for one unit of its Concourse product are as follows: Direct materials (6 pounds at $0.50 per pound) . $ 3 Direct labor (2 hours at...
-
A 10-sided die, numbered 1 to 10, is rolled. Find the probability that the roll results in an even number or a number greater than 6. Use the pie chart at the left, which shows the percent...
-
A problem with a telephone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telecommunications company. The file Phone contains samples of 20...
-
Assume South Park is initially closed to trade. Domestic supply and demand for winter hats is given by the following equations: D = 60 - 4P, S = 2P - 6. a. Suppose South Park opens up to trade and...
-
A developer of video game software has seven proposals for new games. Unfortunately, the company cannot develop all the proposals because its budget for new projects is limited to $950,000 and it has...
-
Find the set of values of m for which the line y = mx + 1 intersects the circle (x 7) 2 + (y 5) 2 = 20 at two distinct points.
-
a. Express 2x 2 + 4x 8 in the form a(x + b) 2 + c. b. Find the least value of k for which the function is one-one. f(x) = 2x 2 + 4x 8 for x , x k
-
Suppose you wish to make a scale drawing of your living room, which measures 18 ft by 25 ft. If the shorter side of the drawing is 6 in., how long is the longer side of the scale drawing?
-
Sandhill Co . started 3 , 6 0 0 units during the period. Its beginning inventory is 6 0 0 units one - fourth complete as to conversion costs and 1 0 0 % complete as to materials costs. Its ending...
-
Rundle Company established a predetermined fixed overhead cost rate of $23 per unit of product. The company planned to make 7,300 units of product but actually produced only 6,800 units. Actual fixed...
-
Homer Simpson borrows $175,000 from the First Bank of Springfield to buy a home. Federal law regulates the terms of the mortgage that must be disclosed in writing in clear, readily understandable...
-
Attucks College predicts that in 12 years it will take $250,000 to attend the college for four years. Hailey has a substantial amount of cash and wishes to invest a lump sum of money for her child's...
-
ceberg Products Inc. declared cash dividends of $66,900 to shareholders on record on December 1, 2023. Outstanding shares include 75,100 common shares worth $225,300 and 11,800, $2 non-cumulative...
-
Sam currently earns $30,000 per year. The government is considering a policy that would increase Sam's income by 12 percent, but raise all prices by 8 percent. What is Sam's compensating variation...
-
What are current assets and current liabilities? How are they different from non-current assets and non-current liabilities?
-
Express the area of a 53cm by 52cm rectangle using factorials.
-
Eight-digit mobile phone numbers issued by the Lemon Network all begin with 79. a. How many different phone numbers can the network issue? b. Find the probability that a randomly selected number...
-
A curator has 36 paintings and 44 sculptures from which they will randomly select eight items to display in their gallery. Find the probability that the display consists of at least three more...
-
Cafe X has just opened and business is slow. Prices are in line with the competition, they have advertised in the local paper, and there appears to be enough staff. What would you recommend they do?
-
Is this the correct way to rotate an image? AffineTransform savedTransform = g2.getTransform(); System.out.println("Frame is " + frameNumber); switch (frameNumber) { case 1: //...
-
FantasyFootballTeam Class Methods: PLEASE HELP MAKE EXCEPTIONS 1. addPlayer 1. Takes in a FootBallPlayer object and adds it to the Array. 2. Ensures the parameter is not null and the array is not...
Study smarter with the SolutionInn App