Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions Name: Date: Graded Assignment Unit Test, Part 2: Quadratic Functions Total score: ____ of 100 points (Score for Question 1: ___ of 5 points) 1. Convert the function into standard form. Show your work. y 2 x 4 x 3 Answer: 2015 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 1 of 12 Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions (Score for Question 2: ___ of 5 points) 2. Convert the function into standard form. Show your work. y 2 3 x 4 2 Answer: 2015 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 2 of 12 Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions (Score for Question 3: ___ of 5 points) 3. Convert the function into intercept form. Show your work. y x 2 5 x 36 Answer: 2015 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 3 of 12 Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions (Score for Question 4: ___ of 5 points) 4. Solve using any method. x 2 x 12 0 Answer: 2015 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 4 of 12 Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions (Score for Question 5: ___ of 5 points) 5. Solve using any method. 2x 2 x 5 0 Answer: 2015 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 5 of 12 Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions (Score for Question 6: ___ of 5 points) 6. Solve using any method. x 2 2x 2 0 Answer: 2015 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 6 of 12 Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions (Score for Question 7: ___ of 11 points) 7. Graph the function, then find the vertex, the x-intercepts, the y-intercept, and the axis of symmetry. y 1 2 x x 6 2 Answer: (3 points) Vertex: (2 points) x-intercepts: (2 points) y-intercept: (2 points) axis of symmetry: (2 points) 2015 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 7 of 12 Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions (Score for Question 8: ___ of 11 points) 8. Graph the function, then find the vertex, the x-intercepts, the y-intercept, and the axis of symmetry. y 2 2 x 1 2 Answer: (3 points) Vertex: (2 points) x-intercepts: (2 points) y-intercept: (2 points) axis of symmetry: (2 points) 2015 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 8 of 12 Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions (Score for Question 9: ___ of 12 points) 9. A box is to be formed by cutting square pieces out of the corner of a rectangular piece of a 3" 5 " notecard as shown below. The sides are then folded up to form a box. a Write the function that expresses the area of the bottom of the box as a function of the length of the side of one of the square pieces. (6 points) (a) How large should x be in order for the area of the bottom of the box to equal 10 in2 ? Round your answer to the nearest hundredth. (6 points) Answer: 2015 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 9 of 12 Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions (Score for Question 10: ___ of 12 points) 10. For the function a y x 2 5x 6 Find the vertex. (b) Find the y-intercept. (c) Find the x-intercepts. (Leave your answers in simplified radical form or, where appropriate, round to the nearest hundredth.) Answer: 2015 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 10 of 12 Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions (Score for Question 11: ___ of 12 points) 11. For the function a y 2x 3 x 2 Find the vertex. (d) Find the y-intercept. (e) Find the x-intercepts. (Leave your answers in simplified radical form or, where appropriate, round to the nearest hundredth.) Answer: 2015 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 11 of 12 Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions (Score for Question 12: ___ of 12 points) 12. For the function a y 2x 2 3x 1 Find the vertex. (f) Find the y-intercept. (g) Find the x-intercepts. (Leave your answers in simplified radical form or, where appropriate, round to the nearest hundredth.) Answer: 2015 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 12 of 12