Quadratic equations Questions and Answers

Convert to exponential form log x y

Convert to logarithmic form 216 log

12 1 point The approximate time t in seconds that it takes an object to fall a distance of d feet is given by t object fall in 8 seconds 128 feet 64 feet 16 384 feet 1024 feet d How far will the 16

2 4x 22x 28 0

x 3 Solve 6 2 6 X 1 216

2 6x 12 11x 5 5

Solve 64 162v 3 V 114

d the x intercepts of the quadratic equations A B 2 1 2n 7n

Directions Calculate the critical points of the quadratic equation and graph the parabola 6 y x 8x 12 X intercepts Vertex min max Y Intercept 10 8 6 101 8 6 4 4 2 2 2 4 6 8 2 4 6 8 1

3 What is the slope of the line 2x y 10

2 What is the y intercept of the line 2x 4y 12

Write the slope intercept form of the equation of 3 15 through 4 1 parallel to y x 4 17 through 2 5 parallel to y x 3 3 19 through 3 3 perp to y x 2 8 21 through 1 3 perp to y x 16 through 4 5 parallel to y x 4 18 through 4 4 parallel to y 3 3 20 through 0 4 perp to y x 1 2 22 through 2 4 perp to y x 5

Graph each linear equation A y 2x 1 B y 3x 2 34 S A

What are the equations of the asymptotes of the graph of f x 1 11 Select each correct answer Ox 1 OX 1 Oy 11 Oy 11

Which graph represents the function f x 3 O y 3 O 8 7 6 1 31 11 b T 29 654 3 x 1 4 w N f x A 24 f x 3 4 5 7 6 5 4 3 5 4 3 2 x 1 y 3 f x 2 4 5 16 f x 345

1 3 Graph each equation 1 y x 5 2 3 y x 4 1 5 5 y x x 3 2 77 y x x 6 4 6 2 y x 1 2 4 y x 2x 3 6 y 3x 2 Identify the vertex and axis of symmetry of each Then sketch the graph 8 y x 6 x 2 8

Graph each equation 1 1 y x 5 2 3 3 y x 4 1 5 5 y x x 3 2 7 7 y x x 6 4 6 2 y x 1 2 4 y x 2x 3 6 9 4 Identify the vertex and axis of symmetry of each Then sketch the graph 8 y x 6 x 2 8

Solve 3x 5 9 Ox 3 x 2 Ox 7 x 8

A jet ski depreciates 11 each year If the jet ski was 8 000 at its time of purchase what is the value of the jet ski after 5 years 13 480 47

8x Solve 6 Ox 9 Ox 3 Ox 0 Ox 4 216x 3

Solve 81x27x 2 Ox 1 Ox 2 Ox 5 Ox 6

During the 1920s installment buying income inequality and stock market speculation contributed to which of the following A the return of laissez faire economic principles prior to the Great Depression B introduction of supply side economics in the US markets economic weaknesses that helped bring about the Great Depression D congress decision to lower tariff rates with US allies

16 Which of the following was a mjaor cause of the Great Depression A excessive government spending on the military B the large financial defecits resulting from WW1 increased government spending on social welfare programs D the rapid decrease in consumer demand and purchasing power

8 The radio had all of the follwing effects on American society EXCEPT It created a common culture where all Americans shared in the same information B It spread the ideas of consumerism through advertisements It spread diversity and culture through Jazz music It led to the rise of division between farmers and factory workers

13 Which group did Eleanor Roosevelt work to help gain more access to New Deal relief efforts women B skilled workers African Americans military veterans

12 What was the indirect result of the passage of the 18th amendmen The sharp decline in alcohol consumption in America The rise of organized crime in American cities The enactment of laws that gave women the right to vote D The direct election of senators

9 In the early decades of the 20th century African Americans migrated in great numbers from the rural South to the industrial North Which factor was not a significant reason for The Great Migration Jim Crow Laws B violence in the South job opportunities in factories of the North government assistance in the North

1 Why were the cultural contributions of the Harlem Renaissance so important to America It was the first time that African American contributions were widely accepted by the bigger American population B There was little impact outside of the African American community It resulted in significant reduction in Jim Crow laws It allowed for desegregation of the military

8 Which of the follwoing was NOT and impact from WW1 Women s Suffrage B Consumerism and Advertising Great Migration and the Harlem Renaissance Fears of immigrants and the Red Scare D

Find the slope of a line parallel to each given line 5 7 y x 2 2 elvi 8 y x 5

7 What is the end behavior for the graph 2 2 A as o f x and as a f x Bas x o f x and as a f x 00 c as x xo f x and as x o f x as x f x and as x x f

8 Question 8 10 Find the decreasing Interval A Ov A 2 B 2 0 2 2 0 NEXT BOOKMARK

S What is the end behavior of this graph 5 4 3 2 4 cy 43 ESER A Asx f x and As x f x As x f x and As x f x Asx f x and As x f x As x f x and As x f x

10 Question 10 10 How would you describe the point at 0 6 5 5 0 A Absolute Maximum SUBMIT B Relative Minimum Relative Maximum D Absolute Minimum 55 BOC

6 Question 6 10 A 3 What is the degree of the graphed polynomial B 4 2 Ov D 5 NEXT BOOKMARK

9 Question 9 10 A 1 B 3 Which of the following is a zero of 3 x x 2 x 1 3 0 D 0 V V

5 1 point Solve each equation Round to the nearest ten thousandth loge 25 1 loge 7x 10 8 16 4 8

18 1 point A savings account balance is compounded continuously If the interest rate is 3 per year and the current balance is 1 986 00 what will the balance be 7 years from now 4 600 30 2 450 08 816 69 0 0 0 D

13 1 point What is the Domain and Range of the following y 2 1 O O Domain x 3 Range y 0 Domain All Real Numbers Range y 1 Domain x 3 Range y 0 Domain All Real Numbers Range y 0 Previous

9 1 point Simplify the following Exponential expression e0 3 e4 0 0 0 0 89 Oe 2 Oe4 3 e3 7 Previous

3 Solve the system of equations shown below listing your answer as an ordered pair 8 7 6 5 3 2 1 4 3 2 1 8 7 8 5 1 2 3 1 5 6 7 1 2 3 5 6 7 B 2x y 7 x 3x 2y 0

4 Extra credit Given the system of equations shown below find the value of 3x y at the solution point 8 7 6 5 4 3 2 1 3 1 5 7 8 7 8 5 4 3 2 1 2 5 6 2x y 2 4x y 8

2 Write the following as entire radicals a 3x 4x b 2 4y 2y

Find the horizontal asymptote of f x Oy 3 Oy 1 Oy 3 x 1 3x 3x 6 x 1

What is the simplified form of the expression x 3 4 x 3 4 X 3 X 7 X 3 x 10x 21 4 x 7

What is the remainder when 2x3 4x2 32x 40 x 4 2 24

What value is a discontinuity of x 5 Ox 7 Ox 2 x 5x 2 x 2x 35 Ox 1

Identify the zeros of f x x 1 x 8 5x 2 1 0 1 5 1 1 2 8 2 NIS 8 25 5 8 2 8 5

What is the simplified form of y 4 y 5 y 4 y 5 y 4 y 5 y 4 y 5 y y 12 y 8y 15

Use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f x x 3 x 2 x 2 0