You will need the following materials: GeoGebra Optional: Digital Camera Procedure: If you have access to a digital camera, take a picture of a parabola existing in the real world. Upload that picture onto your computers hard drive. If you dont have access to a digital camera, search the internet for an image of a parabola existing in the real world. Be sure to follow theguidelines and safety precautions for completing internet searches. In a new GeoGebra window, go to the menu option entitled Perspectives at the top of the screen and select Algebra & Graphics . Then go to the menu option entitled View. Select Grid to turn the gridlines on, and select Algebra to turn the Algebra window off since it is not needed. Insert the image from your digital camera or internet search into GeoGebra using the Insert Image icon . Remember that this tool might be under one of the other buttons check the corner triangle dropdowns until you find it and select it. Then insert the picture by selecting the coordinate grid. You may need to adjust the placement of your image on the screen. To do this, right-click on the image and scroll to Object Properties. Under the Position tab, input the coordinates of the bottom left corner of your picture. For example, Select the point tool , then place a point at the vertex of the parabola in your image. Using the direction, size and vertex of your parabola, think of a quadratic equation in general form, y = a(x h)2 + k, that would closely match your parabola. Remember (h, k) represents the vertex of the parabola. Type that equation in the input box and press . See how closely the graphed parabola matches your image parabola. You may need to try different values of a to make the parabola fit. To change the values of the equation, right-click on the parabola, choose Object Properties, and under the Basic tab change the equation, then close the properties window.Once the graphed parabola matches as close as possible to the image, make note of the quadratic equation, both in general and standard form (y = ax2 + bx + c). When completed, the graphed parabola should lie on top of the parabola in your image. If necessary, right-click on the image and go to the Style tab to make the image more transparent so the graphed parabola can be seen over the image. Identify the vertex, axis of symmetry, domain and range of the graphed parabola by inspecting your graph. Find the x- and y-intercepts of the parabola using the Intersect Two Objects icon . Remember this tool may be hidden below other buttons. To find the x-intercepts, select the parabola, then the x-axis. To find the y-intercepts, select the parabola, then the y-axis. Find the discriminant and explain the best method of finding the x-intercepts algebraically. Find the x-intercepts, or solutions to the quadratic equation, algebraically using each of the following methods: factoring, the quadratic formula, and completing the square. If a method cannot be used, explain why. Show all work involved with each method. Write a paragraph or two describing the picture you took. Provide details such as where it was found, how you found it, and why you chose this parabola in your activity. Send the activity to your instructor with the following information: Title (1 point)Materials Used (1 point)Procedure (1 point)Data(20 points) Include: A screenshot of GeoGebra with the picture you uploaded in the background and the graphed parabola on top. This can be done using the menu at the top of the GeoGebra screen. Go to File, Export, Graphics View to Clipboard. Right-click in your document and choose Paste. (2 points) The quadratic equation matching your picture in general form and in standard form.(2 points) Vertex, axis of symmetry, domain and range of the parabola. (4 points) The x- and y-intercepts found using GeoGebra. (2 points) A complete sentence explaining which method of solving would be best used based on the value of the discriminant. (2 points) The solutions, or x-intercepts, of the parabola found algebraically by factoring, using the quadratic formula and completing the square. If one of these methods cannot be used, a complete sentence explaining why. (3 points) 1-2 paragraphs describing the parabolic image chosen. Provide details such as where it was found, how you found it, and why you chose this parabola in your activity. (5 points) Conclusion (2 points) What did you think of this activity? What did you learn? Attachments: .zipalg2projekt.docx