Project Requirements . In this project you will design your own work of art on a grid. This could be a drawing of a logo or a picture. Your image must include the three functions shown below plus at least one original function. These functions must then be translated, reflected, and stretched to create your final image. The three functions that must be in your design include the following: if if IJ' I .L. I I.) [J J; You must also include at least one function of your own design. Sketch (using pencil) each original function of your own design on a piece of grid paper. You may choose to print and use the template Original Function Grid Template Draw your final image (by hand) on another piece of grid paper or use the Final Image Grid Template. Project Checklist [:1 The functions in your design must include the transformation of at least four functions: . the transformations of all three required functions . the transformation of a function of your own design [:1 Of the four functions in your design . one function must include a combination of stretches, reflections, and translations . one function must be produced by reflecting a different function in the line y = x [:1 Highlight four transformed functions you have used in your artwork. For each function, complete the following: . Describe the series of transformations of each function from the original function. . Determine an equation for the new function in terms of the original function. Project Checklist E] The functions in your design must include the transformation of at least four functions: . the transformations of all three required functions . the transformation of a function of your own design [:1 Of the four functions in your design . one function must include a combination of stretches, reflections, and translations . one function must be produced by reflecting a different function in the line y = X [:1 Highlight four transformed functions you have used in your artwork. For each function, complete the following: . Describe the series of transformations of each function from the original function. . Determine an equation for the new function in terms of the original function. . State the domain and range of the original function and the transformed function. . State mapping notation for the transformed function. . Determine whether the inverse is a function. Explain why. Explain the relationship between the domain and range of the function and its inverse