1. Graphing Quadratic Functions in Standard Form Graphing Quadratic Functions in Vertex & Intercept Form Solving By Factoring Solving By Factoring Solving Quadratic Equations by Finding Square Roots 100 200 300 400 500 Quadratic Jeopardy Review for Test 4.1

2. Graphing Quadratic Functions in Standard Form Question 100 How do you find the vertex of a quadratic function that is in standard form? HomeAnswer

3. Graphing Quadratic Functions in Standard Form Question 100 How do you find the vertex of a quadratic function that is in standard form? Answer: The x-coordinate of the vertex is found with the equation: Then plug it back into the original equation to find the y-coordinate. The vertex answer should be written as (x, y) Home

4. Graphing Quadratic Functions in Vertex & Intercept Form Question 100 How do you find the vertex of a quadratic function that is in intercept form? HomeAnswer

5. Graphing Quadratic Functions in Vertex & Intercept Form Question 100 How do you find the vertex of a quadratic function that is in intercept form? Answer: The x-coordinate of the vertex is found with the equation: Then plug it back into the original equation to find the y-coordinate. The vertex answer should be written as (x, y) Home

6. Solving by Factoring Question 100 When factoring an equation in the form m + n =? And m * n =? HomeAnswer

7. Solving by Factoring Question 100 When factoring an equation in the form m + n =? And m * n =? Answer: m + n = b m * n = c Home

8. Solving by Factoring Question 100 When factoring an equation in the form m + n =? And m * n =? HomeAnswer

9. Solving by Factoring Question 100 When factoring an equation in the form m + n =? And m * n =? Answer: m + n = b m * n = a * c Home

10. Solving Quadratic Equations by Finding Square Roots Question 100 What is the Product Property and Quotient Property of Square Roots? HomeAnswer

11. Solving Quadratic Equations by Finding Square Roots Question 100 What is the Product Property and Quotient Property of Square Roots? Answer: Product Property: Quotient Property: Home

12. Graphing Quadratic Functions in Standard Form Question 200 Graph the function and solve for and label the axis of symmetry and vertex. HomeAnswer

13. Graphing Quadratic Functions in Standard Form Question 200 Graph the function and solve for and label the axis of symmetry and the vertex. Answer: The axis of symmetry is The vertex is Graph: axis of symmetry is the red line The function is in blue The vertex is where the function and the axis of symmetry intersect Home

14. Graphing Quadratic Functions in Vertex & Intercept Form Question 200 Graph the parabola: (use vertex, axis of symmetry, and two additional points and their reflected points) HomeAnswer

15. Graphing Quadratic Functions in Vertex & Intercept Form Question 200 Graph the parabola: Answer: Vertex Form is Vertex: (h,k)=(-1,-2) Axis of symmetry: x=-1 Two other points: The reflected points: Home

16. Solving by Factoring Question 200 Factor the expression: HomeAnswer

17. Solving by Factoring Question 200 Factor the expression: Answer: Special Factoring Patterns- Difference of Squares Home

18. Solving by Factoring Question 200 Factor the following: HomeAnswer

19. Solving by Factoring Question 200 Factor the following: Answer: Special Factoring Patterns- Perfect Square Trinomial Home

20. Solving Quadratic Equations by Finding Square Roots Question 200 Simplify the expression using the properties of square roots: HomeAnswer

21. Solving Quadratic Equations by Finding Square Roots Question 200 Simplify the expression using the properties of square roots: Answer: Home

22. Graphing Quadratic Functions in Standard Form Question 300 Graph the function and solve for and label the axis of symmetry and vertex. HomeAnswer

23. Graphing Quadratic Functions in Standard Form Question 300 Graph the function and solve for and label the axis of symmetry and the vertex. Answer: The axis of symmetry is The vertex is Graph: axis of symmetry is the red line The function is in blue The vertex is where the function and the axis of symmetry intersect Home

24. Graphing Quadratic Functions in Vertex & Intercept Form Question 300 Graph the parabola: (include vertex, and x-intercepts) HomeAnswer

25. Graphing Quadratic Functions in Vertex & Intercept Form Question 300 Graph the parabola Answer: Intercept Form is x-intercepts: Vertex: (-5/,0) Home

26. Solving by Factoring Question 300 Factor and find the roots of: DAILY DOUBLE HomeAnswer

27. Solving by Factoring Question 300 Factor and find the roots of: DAILY DOUBLE Answer: Factors: Home

28. Solving by Factoring Question 300 Factor Out A Monomial : HomeAnswer

29. Solving by Factoring Question 300 Factor Out A Monomial : Answer: Factor out the common monomial 3. Home

30. Solving Quadratic Equations by Finding Square Roots Question 300 Solve the Quadratic Equation: HomeAnswer

31. Solving Quadratic Equations by Finding Square Roots Question 300 Solve the Quadratic Equation: Answer: Home

32. Graphing Quadratic Functions in Standard Form Question 400 Tell whether the function has a minimum or maximum value and solve to find the minimum or maximum value. HomeAnswer

33. Graphing Quadratic Functions in Standard Form Question 400 Tell whether the functionhas a minimum or maximum value and solve to find the minimum or maximum value. Answer: There is a MINIMUM because which means the graph 0pens upward. minimum value: Home

34. Graphing Quadratic Functions in Vertex & Intercept Form Question 400 The Golden Gate Bridge in San Francisco has two towers that each rise 426 ft above the roadway and are connected by suspension cables. Each cable can be modeled by the equation where x and y are measured in feet. What are the maximum and minimum distances between the suspension cables and the roadway? HomeAnswer

35. Graphing Quadratic Functions in Vertex & Intercept Form Question 400 What are the maximum and minimum distances between the suspension cables and the roadway? Answer: Vertex Form Vertex: (52,45) Minimum distance to roadway: 45 ft Maximum distance to roadway: 426 ft Home

36. Solving by Factoring Question 400 Write an equation and simplify it for the following scenario: A rectangular performing platform in a park measures 24 ft by 10 ft. You want to triple the platform’s area by adding the same distance x to the length and the width. HomeAnswer

37. Solving by Factoring Question 400 Write an equation and simplify it for the following scenario. Answer: Original Area: Home

38. Solving by Factoring Question 400 Solve the Quadratic Equation: HomeAnswer

39. Solving by Factoring Question 400 Solve the Quadratic Equation: Answer: Home

40. Solving Quadratic Equations by Finding Square Roots Question 400 What are the solutions of ? HomeAnswer

41. Solving Quadratic Equations by Finding Square Roots Question 400 What are the solutions of ? Answer: Home

42. Graphing Quadratic Functions in Standard Form Question 500 An electronics store sell about 70 of a new model of digital camera per month at a price of $320 each. For each $20 decrease in price, about 5 more cameras per month are sold. Write a function that models the situation. Then solve to find how the store can maximize monthly revenue from sales of the camera. HomeAnswer

43. Graphing Quadratic Functions in Standard Form Question 500 Write a function that models the situation. Then solve to find how the store can maximize monthly revenue from sales of the camera. Answer: Revenue = Price ($/camera) * Amount of cameras sold (per month) Vertex: Thus the store should reduce the cost per camera by $153 to increase monthly revenue from sale the camera to $139,445. Home

44. Graphing Quadratic Functions in Vertex & Intercept Form Question 500 Some harbor police departments have firefighting boats with water cannons. The boats are used to fight fires that occur within the harbor. The function models the path of water shot by a water cannon where x is the horizontal distance in feet and y is the vertical height in feet. How far does the water cannon shoot? HomeAnswer

45. Graphing Quadratic Functions in Vertex & Intercept Form Question 500 How far does the water cannon shoot? Answer: Intercept Form x-intercepts: Vertex: (71.95,18.12) The water cannon can shoot 143.9 ft Home

46. Solving by Factoring Question 500 You have a rectangular vegetable garden that measures 42 ft by 8 ft. You want to double the area of the garden by expanding the length and width as shown. What is the value of x? And the new dimensions? HomeAnswer

47. Solving by Factoring Question 500 What is the value of x? And the new dimensions? Answer: Original Area: Can’t have negative feet added Home Home New Dimensions: by

48. You are creating a metal border of uniform width for a rectangular wall mirror that is 20 inches by 24 inches. You have 416 square inches of metal to use. What is the greatest possible width x of the border? DAILY DOUBLE HomeAnswer Solving by Factoring Question 500

49. What is the greatest possible width x of the border? DAILY DOUBLE Answer: Can’t have negative inches added. Home

50. Solving Quadratic Equations by Finding Square Roots Question 500 A pinecone falls from a tree branch that is 20 feet above the ground. The motion can be modeled by the functionwhere is the object’s initial height. About how many seconds does it take for the pinecone to hit the ground? HomeAnswer

51. Solving Quadratic Equations by Finding Square Roots Question 500 About how many seconds does it take for the pinecone to hit the ground? Answer: Can’t have a negative time because t=0 the pinecone had not fallen yet.. Home