Quadratic equations Questions and Answers

Rewrite the function in the form g x a 1 k Also state the domain and range using inequalities x h g x 4x 11 x 1

Amy has purchased a basic letterpress kit for 140 She plans to make wedding invitations She estimates hat the cost of the paper and envelope for each invitation is 2 Model this situation with a rational Function that gives the average cost of a wedding invitation when the cost of the kit is included in the calculation Use the graph of the function to determine the minimum number of invitations that brings the average cost below 5 2w 140 W Given C w represents the average cost in dollars of a wedding invitation when the cost of the kit is included graph it using key features Then select two choices that are true about the function C w A There is a zero at 2 B There is an asymptote at x 0 C There is an asymptote at y 2 D There is a y intercept at 2 Average cost dollars 5432768 0 C W 20 40 60 80 Number of invitations A zero implies an x intercept

Rewrite the function in the form g x ah k Also state the domain and range using inequalities 1 g x 4x 11 x 1

Identify the transformations of the graph of f x 1 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 asymptotic 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 2 1 6 6 4 3 2 1 0 1 12 5

Rewrite the function in the form g x a inequalities g x 3x 8 x 2 k and graph it Also state the domain and range using 6 4 2 6 2 2 y 2 4 6 x

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