# Quadratic equations Questions and Answers

Algebra

Quadratic equationsThe figure shows a graph of the function f x in the xy coordinate plane 5 10 5 5 C Use the dropdown menus to indicate whether each statement is true or false f x has A a minimum of 8 B two real zeroes C a decreasing interval from 1 D a y intercept of 7 E A vertex at 1 8 F f x 0 over 0 5 Sign out

Algebra

Quadratic equationsSolve the equation by completing the square x 8x 20 Ox 8 72 O x 10 2 O x 20 4 Ox 4 72

Algebra

Quadratic equationsWhich of the following is true about the solutions for the equation 3x 5x 4 0 O Information about the solutions cannot be determined O There is only one real solution O There are two real solutions O There are two non real complex solutions

Algebra

Quadratic equationsSolve the equation by using the quadratic formula 2x 8 x 1 i 65 2 0 x X 0 x 0 x 1 65 4 1 65 65 4 1 63 4

Algebra

Quadratic equationsCompared to the quadratic parent function the graph of g x and translated from the parent function 1 2x 6 is

Algebra

Quadratic equationsWhen asked to write f x 2x 16x 7 in vertex form Carlos showed his work by writing the following Step 1 f x 2 x 8x 7 Step 2 f x 2 x 8x 16 7 16 Step 3 f x 2 x 4 9 Is Carlos correct in his reasoning Explain your reasoning B I US X X

Algebra

Quadratic equationsQuestion 1 10 Determine the discriminant of the function g x 2x 10x 5 O 10 60 100 O 140

Algebra

Quadratic equationsIdentify the quadratic equation that has solutions of 3 O y 3x 10x 8 y 2x 5x 12 Oy 3x 10x 8 y 2x 5x 12 and 4

Algebra

Quadratic equations11 12 x x 1 What is the extraneous solution to this problem Type a response

Algebra

Quadratic equationsA quadratic equation is equal to 0 the constant is 24 the quadratic term s coefficient is 1 the linear term s coefficient is 2 What is are the solutions to the problem PICK TWO 6 2 1 4

Algebra

Quadratic equations3 x 6 2x 5 When you solve this problem what is the value of each side of the equation ROUND YOUR ANSWER IF NEEDED O O O 4 13 11 17

Algebra

Quadratic equations5x2 x 8 When you square both sides what is the resulting equation in the next step before you solve for x O O O O 4x 28 5x2 x 8 5x 2 x 8 5x 2 x 8

Algebra

Quadratic equationsTwo numbers multiply together to equal 72 but add together 18 What are the two numbers Select Select Select Select and

Algebra

Quadratic equations2x 2 10 When you square both sides what is the resulting equation in the next step before you solve for x O O O O 2x 2 10 2x 2 100 2x 2 100 2x 2 10

Algebra

Quadratic equationsSolve the following for x a 3x 11 2 b x5 2 2x 1 c 3x 1 2 x 3 2 marks 2 marks 2 marks

Algebra

Quadratic equationsA school had a fund raising event The revenue came from three resources ticket sales auction sales and donations Ticket sales account for of the total revenue auction sales account for of the total revenue What fraction of the revenue came from donations of the revenue came from donations

Algebra

Quadratic equationsSketch the graph of each line 19 y x 4 21 y 4x 5 5 310 5 4 3 2 10 3 20 y 5x 1 2 10 22 y x 5 2 4 3 2 10

Algebra

Quadratic equations5 3 3 you fe 4 Algebra 13DC5 3 and 3 Name Slope intercept Form Worksheet Find the slope of each line 1 0 1 x 4 0 X 0 Y Y Y 3 1 XX 3 1 573 5 3 SOR 2 X X X2 X 3 33 4 4 3 2 1 3 3 0 ZI Elore 1 C1F 13 2 6 Name Eliya Love Date M 4 38 Us tercept form 3 1 2 Find the slon ato 2 1 2029 1 Period th X 1 1 x 3 X 1 X 3 X X 4 STOP 1 3 3 1 25 2 3 4 3 S

Algebra

Quadratic equationsFind an expression for a cubic function f if f 4 160 and f 4 f 0 f 5 0 Step 1 A cubic function generally has the form f x ax bx2 cx d If we know that for some x value x p we have f p 0 then it must be true that x p is a factor of f x Since we are told that f 5 0 we know that x 5 is a factor Step 2 Similarly since f 4 0 then f x has the factor x 4 I to obtain a Step 3 Since f x has the factors x x 5 and x 4 then we must have f x a x x 5 x 4 for some as yet unknown multiplier a However since it was given that f 4 160 we substitute 4 for x and 160 for f x and solve f 4 160 a 4 4 5 4 4 f x 5 Step 4 Using all the information we found we can now write the full expression x 4 and since f 0 0 then f x has the factor

Algebra

Quadratic equationsGiven the following functions find each f x x 3x 4 g x x 4 f g x f g x f g x

Algebra

Quadratic equationsQuestion Consider the region bounded by the graphs of y x y 17 and x 6 in the first quadrant What is the volume of solid obtained by rotating this region about the line x 2 Select the correct answer below 17 2 O af Ty 6 16 dy JU 17 Ty 4 36 dy 17 OT Ty 2 16 dy LF 01 26 14

Algebra

Quadratic equationsFind the magnitude of the vector given below Also find the measure in degrees of the acute angle formed by the vector and x axis Do not round any intermediate computations and round your responses to 2 decimal places y 0 a magnitude of the vector b 0 X

Algebra

Quadratic equations8 Write an equivalent expression over the given domain x 6 for all x except 3 and 5 x 5

Algebra

Quadratic equationsClasswork Homework Name 1 Slope Intercept Form y mx b Determine the slope and y intercept for each graph Write the equa 2 slope slope y intercept y intercept Qyinkansola Alavan equation 6 54 3 2 1 slope C 1 Linear Functions review all t Wi 1 2 equation 6 5 151 1 5 y 2x y 4 3 2 1 slope 1 2 3 4 5 6 1 2 Write each equation in slope intercept form identify the s Clearly mark at least three points on each line Show your 4 y 6 5 x y 4 3

Algebra

Quadratic equations3 10 4 5 6 7 3 61 x 5 2x 8 When you solve this problem what is the value of each side of the equation ROUND YOUR ANSWER IF NEEDED 4 24 13 8 9 4 10 11 12 13

Algebra

Quadratic equationsYou create a post on a social media site and tag six friends In the second round each of your friends tag six people and the process continues a Write a function that represents the number of people who are tagged in the nth round A 9 b In which round will 7776 people be tagged Rou

Algebra

Quadratic equationsListen Determine whether the table represents an exponential growth function an exponential decay function or neith x 1 2 3 4 y 3 11 19 27 O exponential growth function O exponential decay function neither

Algebra

Quadratic equationsPart A Your grandmother opened an account when you were born with 1000 The account earns 3 interest compounded quarterly How much money will be in the account when you turn 18

Algebra

Quadratic equations5 1 Two numbers multiply together to equal 64 but add together 12 What are the two numbers Select Select 16 32 8 and Select 4 Select

Algebra

Quadratic equationsThe surface area of a right circular cylinder is given by the polynomial 2xrh 2xr where h is the height r is the radius of the base and h and r are given in the same units A beverage can has height 5 9 in and radius 1 4 in Find the surface area of the can Use a calculator with a key or use 3 141592654 for The surface area of the can is in GILB

Algebra

Quadratic equationsGiven the following data X 65 V 95 x 325 Zy 475 Exy 308 the value b 1 5 slope in the linear regression equation a bx find Ex Select one a 21145 b 21125 c 21155 d 21135

Algebra

Quadratic equationsIf A B are symmetric matrices and AB BA then AB is also symmetri Select one True

Algebra

Quadratic equationsW is the set of all vectors in R2 whose second component is the cube of the first Select one O O O O a W is subspace because it s not closed under addition b W is not subspace because it s closed under addition c W is subspace because it s not closed under addition d W is not subspace because it s not closed under addition