Quadratic equations Questions and Answers

One zero of the polynomial function f x x 9x 20x is x 0 What are the zeros of the polynomial function 00 5 4 00 5 4 0 5 4 0 5 4

Find the vertical asymptote s of f x Ox 1 1 Ox 1 2 x 1 2 Ox 2 2 2x 3x 6 x 1

What is the quotient 2x3 13x 16x 5 x 5 2x 3x 1 2x 3x 1 2x 3x 1 2x 3x 1

Cooper invested 1 100 in an account paying an interest rate of 3 8 compounded daily Assuming no deposits or withdrawals are made how much money to the nearest cent would be in the account after 10 years

Standard 6 PAR 7 3 Mrs Darcy puts 4 chocolate candies in a bag to give each of her students on the first day of class If she puts a total of 76 chocolate candies in bags how many students are in her class O 19 O 72 80 O 304

Standard 6 PAR 7 3 The product of two numbers is 48 and one of the numbers is 12 Find the other number Which equation can be used to solve this problem 48x 12 12x 48 01 2 48 48 12

Cindy Paul and Roger equally shared a bag of candy Each person received at least 18 pieces of candy If x represents the number of pieces of candy that were in the bag which inequality correctly represents the situation O 3x 18 O 3x2 18 0 18 0 18

Which number from the set 0 2 3 5 is the solution to this equation 5x4 3x 6 0 0 02 0 3 C 5

A parabola has a vertex of 5 6 and passes through the point 10 4 In the y a x h k form of the parabola what is the value of a

5 Describe in words how the graph of g x 5 x 2 2 3 would be transformed from the parent unction f x x

4 The graph f x x has a vertical compression of by a factor of is shifted up 6 and right 5 What is the quation of the function after the transformation

A party favor bag must have a volume of 140 cubic inches and the dimensions that are shown below The equation x3 6x 27x 140 can be used to find x Length xin Height x 9 in Width x 3 in What are the dimensions of the party favor bag Use a graphing calculator and a system of equations to find the answer The length is 4 inches the width is 1 inch and the height is 13 inches The length is 7 inches the width is 4 inches and the height is 16 inches The length is 3 inches the width is O inches and the height is 12 inches The length is 5 inches the width is 2 inches and the height is 14 inches

What are the roots of the polynomial equation x 5x 5 2x 5 Use a graphing calculator and a system of equations Round noninteger roots to the nearest hundredth 2 24 2 2 24 2 24 2 2 24 0000 3 5 3 5

J x sin 2 Use the sine tool to graph the function The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point Move 6 28 Sine 3 14 5 4 3 2 0 1 2 3 Ay Undo 3 14 Redo x Reset 6 28

The table of values shows the height of a car of a Ferris wheel as it travels in a circular motion Which statements are true Select each correct answer The radius of the Ferris wheel is 30 ft O The maximum height of the Ferris wheel is 64 ft The car makes a complete revolution in 5 s If the car is loaded at 0 s then people are loaded at the lowest point of the Ferris wheel Time seconds 0 2 5 5 7 5 10 12 5 15 17 5 20 Height feet 34 64 34 4 34 64 34 4 34

Over a 24 hour period the temperature in a town can be modeled by one period of a sinusoidal function The temperature measures 70 F in the morning rises to a high of 80 F falls to a low of 60 F and then rises to 70 F by the next morning What is the equation for the sine function f x where x represents time in hours since the beginning of the 24 hour period that models the situation Enter your answer in the box f x

In the function f x x is replaced with 2x and 1 is added to the function f x 3 sinx What effect does this have on the graph of the function O The graph is vertically stretched by a factor of and shifts down 1 unit O The graph is horizontally compressed by a factor of and shifts down 1 unit O The graph is vertically stretched by a factor of and shifts up 1 unit O The graph is horizontally compressed by a factor of and shifts up 1 unit

What is the minimum value for the function shown in the graph Enter your answer in the box 3 2x K 0 5 0 5 1 1 5 2 2 5 3 3 5 4 4 5 5 5 5 6 6 5 T 55 2 3n

6n 3n 8n 6 3n 7n 5n 3n

by Long Division 10 5p 40p 120p 41 5p 10

3n 3n 2n 8n 7n 5n 2 6n 3n 8n 6 3n 7n 5n 3n

Divide You pick which method 12 v 16v 8 v 4

Below is the graph of y Transform it to make the graph of y 8 1 SCH 1 X 2 3 V X

Graph all vertical and horizontal asymptotes of the rational function 6x 13 f x 2x 7 X

Write each expression with a single rational exponent Show each step of your process Which expressions are equivalent Justify your reasoning A 4x B C 10 5 D

Identify the vertex of each 7 y 2x 12x 28 A 3 10 C 7 1 B 1 7 D 1 7 9 y x2 10x 25 A 5 0 C 0 5 B 5 0 D 0 5 10 8 8 y x 6x 15 A 3 6 C 3 6 10 y 2x 24x A 3 6 C 7 2 B 3 6 D 3 6 75 B 6 3 D 6 3

A roller coaster s height is given by the equation h 046t2 5t 75 where t represents the time in seconds How long will it take riders to pass over the hill and reach ground level Hint Seth 0 122 05 seconds 75 00 seconds 54 35 seconds

Rewrite in simplest rational exponent form xx Show each step of your process

Rewrite in simplest radical form 1 3 Show each step of your process X 6

Is the expression x3 x3 x3 equivalent to x3 3 3 Why or why not Explain your reasoning

Writing an Equation From a Graph 1 3 20 11 y 00 2 dy do 4 3 0 1 2 3 1 O X P 2 4 19 4 2 O 2 4x 4 2 4 2 y 10 4 2 2 4 X

10 1 point Solve the equation Round to four decimal places e 8 0 3010 0 6931 6 2389 2 0794

4 3 2 1 Y 3 24 T 2 3 1 2 3 What is the slope of the line I

Veterinarians use different medications to treat fleas in dogs Once administered the medication typically decays exponentially One treatment decays by half each week A dog receives 4 mL of medication and the function f gives the number of mL of medicine left after w weeks 1 Find the amount of medication in the dog s bloodstream 1 week 2 weeks and 3 weeks after it is administered 2 Write an expression to represent the amount of medication in its bloodstream 1 day after it is administered 3 Explain what f means in this context

0 y 36 y 8y 12 y 2x 35 y 9y 14

8 6 x 3 4x 11 x 9

4x x 2 x 3 x 2

4 2 x 3 5x 7 x 3

4 d 3 2d 1 4 1 20 1

3 1 1 2 12 20 2x 2x

a 11 3a 5 a 21 3a 5

Which polynomial function has a leading coefficient of 3 and roots 4 i and 2 all with multiplicity 1 f x x 3 x 4 x i x 2 2 f x x 3 x 4 x 1 x 1 x 2 f x 3 x 4 x 1 x 2 Of x 3 x 4 x 1 x i x

Solve using the quadratic formula 7d 2d 8 0 Write your answers as integers proper or improper fractions in simplest form or decim rounded to the nearest hundredth d or d

Consider the function f x x 3 What is the domain and the range of the inverse of the function Domain Range Type your answer in interval notation without spaces use inf for infinity For example 2 inf Type your answer in interval notation without spaces use inf for infinity For example 2 inf POSSIBLE

6 5 1 to k LE F 3 LE 4 3 2 14 2 CD wy 5 8 X O domain 5 4 3 2 0 1 2 3 4 5 domain 3 2 0 1 4 O domain 5 4 3 1 2 5

Given the quadratics in general from a 1 find the roots x ints solutions zeros f x x 7x 18 x 7x 186 y x 8x 12 y x 6x 8 y x 6x 7 x 4x 21 f x x 3x 4 2 f x x 7x 15 Write an equation in general form that has the x intercepts of 3 0 and 5 0

How many x intercepts appear on the graph of this polynomial function f x x x x x O4x intercepts 1 x intercept 2x intercepts 3x intercepts

1 11 n 4n 21 0 A 2 12 C 12 2 B 3 7 D 6 4 12 12 x 8x 9 0 A 7 3 C 4 6 B 4 6 D 9 1

2 3x 5y 5 9 5 4 3 N X 6 5 4 3 2 1 2 S T 10

Kuta Software Infinite Algebra 1 Graphing Lines Sketch the graph of each line 1 7x y 5 65443 2 Ayy Y