Quadratic equations Questions and Answers

Rewrite the function in the form g x a k Also state the domain and range using inequalities x h g x 2x 7 x 4

Find the missing variable for each direct variation k 1 x 5

Identify the transformations of the graph of f x that produce the graph of the given function g x Then graph g x on the same coordinate plane as the graph of f x by applying the transformations on the asymptotes x 0 and y 0 to the reference points 1 1 and 1 1 Also state the domain and range of g x using inequalities g x 0 5 3

Find the missing variable for each direct variation 1 r

Find the missing variable for each inverse variation k 2 5 y

Write a direct variation equation for the graph that passes through the point

Write a direct variation equation for the graph that passes through the point

ell whether each function is linear If so graph the function

b 4x x 3 6x 5

4 The zeros of g x are 3 1 and 4 Write g x in factored form and standard form Factored form g x

b 3x 2x 7x 5 3x 5x 2x 6 nding coefficient of part b

a b x4 3x 1 2x 4x 6

8 Multiply 27 x 7 x 5 3 x 7

29 264 6 8 6x M 2 1 0 1 2 3 4 5 6 7 8 30 22 6ks 4 x 2 A 10 6 0

6 Simplify 2x 2 x 3 5x2 X 4

5 Add 2x 1 3 x 3x

7 Simplify 6x 9x 3x2 8x 5 12x 18x 2x 3x 1

Subtract 2x 7 x 3x 10 x 5 x 3x 10

10 Solve for x Find all correct answers X x 5 3 x 2 7x x 3x 10

1 Which domain restrictions apply to the rational expression 14 2x x 7x

3 Solve for x 3 x 2 1 X 1 5x

11 Solve for x Find all correct answers 3x 4 x 2

solutions 13 1 4 26 24 22 20 18 16 14 52 2 6 v 17 18 19 20 21 22 23 24 25 26 27

33 21 3 r 4 2 5x 1 11 3 2 101 3 5 6 7 34 67 7 5x 3 66 5x 10 8 6 4 2 0

17 6 2 7n 3 2n 2 42 33 4 3 2 1 0 1 2 5 18 156 6 10k 9 10 11 12 13 14 15 16 17 18 19

25 8 4x 3x 16 14 12 10 8 27 4 6n 4 n 6 26 14 5m 4m 6 3 4 5 6 7 8 9 10 11 12 13 28 16 8x 7x 2 8x

19 6 8 16 14 21 13 1 2x 12 10 8 X 20 10 9 14 6 7 8 9 10 11 12 13 14 15 16 22 9 8 x 153

Try It Write an inequality for the given graph 9 11 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 10 7 6 5 4 3 2 1 0123 12 7 6 5 4 3 2 1 0 1 567 2 3 4567

5 Write 1 in factored form using the root given and the ones you found Challenge Find the roots of f x x 4x 7x 16x 12 find 2 roots on the graph do synthetic division with one then do synthetic division with the other zero on the answer of the first synthetic division

22 x y 7 x y 13 23 x y 4 x y 6 x y x y Yan t The Answer is

of x3 5x 2x 8 0 algebraically

4 y 2x x 1

3 g x x 3x x 3

13 1 82 32 12 14 15 15 5 164 V103

of x 4x x 6 0 algebraically

3 4 186 4 197 10 2 2038 12 219 3 10

10 6 11 11 12 12 6 Type here to search

9 Solve for x 36x 27x 10

4 What is the exponential form of the logarithmic equation 4 log0 7 0 2401

36x 27x 10 10 The function f x logx is transformed into the equation f x log x Identify the para and the effect the parameter has on the parent function

The function f a Ina is transformed into the equation f a In 9 2x Select from the drop down menus to correctly identify the parameter and the effect the parameter has on the parent function The function f x ln 9 2 x is a horizontal compression of the parent function by a factor of 9 2 Choose horizontal compression horizontal expansion 10

11 What are the x and y intercepts of the function Round to the nearest hundredth y log 5x 6 3 12 Graph the logarithmic function f x In r 4

3 What is the y intercept of the exponential function f x 3 x 1 4 What is the exponential form of the logarithmic equation 4 log 0 2401

7 Solve the equation y log5 0 04 8 Find the exact value of x 4 63x 428

What is the exponential form of the logarithmic equation 5 logo 9 0 59049 Enter your answer in the box

What is the y intercept of the exponential function f x 0 25 6 2 1 Enter your answer in the box v intercept

make on your investment Quick refresher don t forget that rate of return and ROI are the same thing If you have a savings account paying you a 2 rate of return per year your Return on Investment or ROI is also 2 The Rule of 72 Divide the number 72 by your ROI It s as simple as that If you re making only 2 on an investment divide 72 by 2 and you ll know how many years it will take to double your money 72 divided by 2 36 years to double your money at 2 ROI now you try it How many years will it take you to double your money if Round off your answers to one decimal place Some of the answers are incorrect Have another look at the questions Here is a hint Divide the number 72 by your ROI Calculate 72 4 off to one decimal and 72 10 and 72 13 Don t forget to round place 1 Your ROI or rate of return is 4 10 0 0 years years

y log 12x 7 3 Round only the final answers to the nearest hundredth Enter your answers in the boxes x intercept of the equation y intercept

In 121 le of the logarithm Round the answer to the nearest ten thousandth Enter your answer in the box

Solve the logarithmic equation y log10 0 0001 Enter your answer in the box y