Quadratic equations Questions and Answers

0 2 Write the point slope form of the equation of the line through the given points 10 through 3 2 and 5 2 11 11 through 2 4 and 5 2 A 0 x 3 C y 2 0 A y 4 2 x 2 B y 4 x 2 y 2 x 4 D y 2 x 4 B 0 x 2 D 0 x 3 Write the point slope form of the equation of each line given the slope and y intercept 12 Slope 9 y intercept 5 13 13 Slope A y 9 x 5 B y x 5 C y 5 x D 54 9 3 A y x 2 C y 2 x y intercept 2 B y x 2 D y 2 x

4 Consider the function f x 2x 4x a 5pts Find the average rate of change between x 1 and x 2 2 2 4 2 2 1 4 1 n f x f 2 F a X b X a 2 xth 4 x h 2x 4x 2x 2xhth 4 4h 2x 4x 2xhth 4h 20 h x h 4 2 1 1 2 1 lim 2 1 0 4 h 0 b 5pts Find the average rate of change between x 1 and x L F b Fla b Xa 1 6 11

1 x y 1 A y 3x 1 C y x 3 B y x 1 D y x 1 12 12 2x y 4 A y 4x 2 C y 4x42 B y 2x 4 D y 2x 4

Write the slope intercept form of the equation of each line 9 4x 7y 7 4 A y x 1 C y x 1 B y x 1 D y x 7 10 10 3x 5y 30 3 A y 6x 5 3 5 B y 6x C y x 6 5 D y x 6

Evaluate the common log Round to 3 decimal places log 40 O O 4 235 1 602 4 012

Divide 7x 43x 33 x 6 using synthetic long division Step by Step Solution Each polynomial is in standard form The dividend is 7x 43x 33 and the divisor is x 6 Step 1 Write the dividend in standard form Then copy the coefficients of the dividend Remember to inser missing power of x The dividend is already in standard form Copy the coefficients of the dividend in the or originally appear

Find the sum of a b c and d if 3x 5x 30x 28 x 2 2 ax bx c d x 2

Find the product of the polynomials 3 y 8y 7 7y 3 y 8y 7 7y Simplify your answer

The volume of the box shown is 5x 12x 116x 48 cubic centimeters Find the length if the width is x 6 centimeters and the height is x 4 centimeters C x 4 x 6

Divide using any appropriate method 3 2 x 5x 4x 12 x 2 3 2 x 5x 4x12 11

Divide using synthetic division 2 x 25x 172 X 4 x 25x 172

Divide using synthetic division 2x x 4 X 5 Complete the following synthetic division table Write your answer below N

n 1 6 10 10 19 2 1 5 2 5 2 6 15 statements is true about the function g The function ga is graphed Determine which of the follow OThe range of the function g is 3 5 0 O From 7 x 6 the function g has two decreasing intervals O The function g has two relative maximums on the interval 7 x 6 O The function g has one solution when g x 1 on the interval 7 6 Next

Choose the key characteristic from the options to describe each graph vertex at 5 1 minimum at 5 1 maximum at 5 1 one zero Function f x x 5 1 g x 2x 5 1 h x x 10x 24 Vertex Maximum Minimum no zeros Zero s Drag and drop an answer c two zeros

The function h x is graphed on the xy plane below 4 2 10 8 6 4 2 NO 2 4 2 4 6 00 8 10

Match the function fa 5 16 2 4 5 to the graph it represents 1

REVIEW SUM 1 Q2 Write the point slope form of the equation of the line through the given point with the given slope 9 8 through 2 1 slope 1 A y 2 x 1 B y 2 x 1 C y 1 x 2 D y 1 x 2 10 through 3 2 and 5 2 A 0 x 3 C y 2 0 A y B y Write the point slope form of the equation of the line through the given points 11 11 through 2 4 and 5 2 A y 4 2 x 2 B y 4 x 2 C y 2 x 4 D y 2 x 4 5 x 9 through 5 5 slope x 5 B 0 x 2 D 0 x 3 5 C y 5 x D y 5 9x A y 5 x 3 Write the point slope form of the equation of each line given the slope and y intercept 12 Slope 9 y intercept 5 13 9 x 5 B y 5 x 5 2 C y 5 x 5 D y 5 x 5 4 3 1 3 A y x 2 C y 2 x 13 Slope y intercept 2 B y x 2 D y 2 1 3 x

Determine whether the statement can be assumed from the given figure Explain 10 12 27 and 29 are vertical angles Select Choice the angles are Select Choice and are Select Choice by two intersecting line

The function f x x 8 X 4 is one to one For the function a Find an equation for f x the inverse function b Verify that your equation is correct by showing that f f x x and f f x a Select the correct choice below and if necessary fill in the answer box to complete your choice Simplify your answer Use integers or fractions for any numbers in the expression O A f x for x OB f x O c f x OD f x for x 2 for x for all x

Sketch the graph of the polynomial function Use synthetic division and the remainder theorem to find the zeros 3 f x x 31x 30 What are the zeros of f x x 31x 30 X Use a comma to separate answers as needed Choose the correct graph below O A 250 1 OB O C O D FA

The graph of a function is given Determine whether the function has an inverse function Does the given function have an inverse function O Yes O No B 3 Lof Q U

Question 15 The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone If a customer uses 440 minutes the monthly cost will be 68 If the customer uses 900 minutes the monthly cost will be 114 A Find an equation in the form y mx b where is the number of monthly minutes used and y is the total monthly cost of the NextFell plan Answer y B Use your equation to find the total monthly cost if 731 minutes are used Answer If 731 minutes are used the total cost will be Question Help Video Message instructor dollars

Fill in the information about the parabolas below a For each parabola choose whether it opens upward or downward b Choose the parabola with the widest graph c Choose the parabola with th narrowest graph 2 y 4x Choose one y 12 X 4 Choose one y 12 X 3 Choose one 2 y x Choose one O

Fill in the information about the absolute value functions below a For each function choose whether its graph opens upward or downward b Choose the equation with the widest graph c Choose the equation with the narrowest graph V Choose one O O y 1 x Choose one Choose one O O y O y 2 x Choose one

Find the domain of the function 3 9 x 4 x 9 f x What is the domain of f

CHOICE DO QUESTION 1 or QUESTION 2 5 Marks Deter Determine an equation for the family of quadratic functions with roots 5 3

Find x correct to one decimal place 30 y 25 X Ask Studybuddy O 12 5 O 28 9 14 4 O C 27g 3g

1 What is the formula for Radical form and what do m and n represent

For the following exercise solve the rational exponent equation Use factoring where necessary x2 32

2 Use the distributive law to find the product 4x x x

Use synthetic division to find the following quotient 3 2 x 1 8x 2x x 2 x 1 8x 2x x 2 11 Simplify your answer

Find the product of the polynomials 4a 7 9a 3a 1 4a 7 9a 3a 1

A baby weighs 14 pounds at 5 months and 21 pounds at 10 months Write an equation in slope intercept form that relates the baby s weight y to the baby s age x Use no spaces Use the equation to find how much the baby weighed at birth How many pounds did the baby gain at 12 months pounds pounds

Divide using synthetic division 3x 8x 35 x 5 2 3x 8x 35 x 5 Simplify your answer

b The graph of y g x is shown Draw the graph of y g x X S

Define the function formula for each of the following given the function definitions for f g and h f x x 4 g x 3z 5 7 h z r a f g x b g f x c h f x It Preview syntax error Preview Preview

a The graph of y f x is shown Draw the graph of y f x X

int B Show that int A B int A

a The graph of y f x is shown Draw the graph of y f x H X S

K Certain positive angles are marked in the given figure Find the corresponding radian or degrees measures 30 radians 6 T Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression 60 T 4 radians 45 Simplify your answer Do not include the degree symbol in your answer 2 T 3 radians Simplify your answer Type an exact answer using a as needed Use integers or fractions for any numbers in the expression radians 120 O 3 Simplify your answer Do not include the degree symbol in your answer 3 radians 4 Simplify your answer Do not include the degree symbol in your answer 3x 4 2k 3 radians 150 radians 180 210 225 4x 3 radians 3x 2 KIN 90 2 radians 60 x 4 radians 270 5x 3 radians 30 10 330 315 X 0 radians radians Q Q

1 f x x36x 9x 40 0 0 PILLE DURATION CENTEN VE 1700 a State the domain in interval notation MIREZION 128 b State the range in interval notation c State the end behavior d State the local maxima e State the local minima f State the x intercepts g State the y intercepts h State the intervals where the graph is increasing

Identify the function s minimum O The function s minimum is 10 4 at x 1 4 O The function s minimum is 5 at x 4 O The function s minimum is 4 at x 5 O The function s minimum is 2 5 at x 4 The following chart recorded a company s stock price change in a certain day Stock Price in Dollars 765 N 8 3 2 1 GO AY

Find the inverse of the function on the given domain Enter the domain using interval notation f x x 6 6 0 f 1 x on domain

3 5x 17x 40x The solution set is Type your answer in interval notation

2 Use the key features of the function to sketch its graph x intercept none y intercept 0 1 Continuity continuous Increasing all values of x 0 Decreasing all values of x 0 Extrema minimum at 0 1 flv

Use long division to find the quotient Q x and the remainder R x when P x is divided by d x and express P x in the form d x Q x R x 4 2 P x x 2x 8 d x x 2

A ball is thrown from an initial height of 3 feet with an initial upward velocity of 33 ft s The ball s height in feet after 1 seconds is given by the following h 3 331 167 Find all values off for which the ball s height is 19 feet Round your answer s to the nearest hundredth If there is more than one answer use the or button initial height ground seconds Dor X

Use a calculator to approximate tan 6 5711 tan 6 5711 Round to four decimal places as needed

Use the figure of the first quadrant of the unit circle to find the exact circular function value COS 90 H6 N S 0 1 60 WIN 45 30 2 2 NO N 0 0 1 0 G COS T Simplify your answer including any radicals Use integers or fractions for any numbe the expression

The function f x x 7 10 is one to one and therefore invertible Determine f Graph both f 1 and f along with the identity function f x x f x