PLEASE FILL THE BLANKSSSS

Given the Green graph f(x) determine and describe the transformation needed to become the Purple graph: 0 Write the transformation in the form f(x) = af(bx c) + d to change from the Green to Purple graph. o Describe the transformation in terms of direction and type (for example vertical translation up by 2). We did the rst one for you! Green Graph is f(x) Type of Function for Purple Purple Graph is Transformation and graph g(x) = abx c) + d Direction g(x) = abx c) + d Ex. x) 4 ' Vertical Translation g(x) = f(x) + 2 Up 2 Units. 3 B) co 2 1- 0 2 3 4 --1- -2 2- 1 0 3 --1- --2- -3Part 1B (3 points) Given f(x) = x . Determine the function g(x) that meets the type of transformation and direction specified. We did the first one for you. Type of transformation and direction g(x) = af(bx - c) + d a) Vertical stretch by 2 g(x) = 2x b) Move to the left 3 c) Move down 5 d) Horizontal stretch by 4 so wider e) Reflection across the y axis f) Reflection across the x axisPart 2: Making the Connection Facts: The Sun's volume would need 1.3 million Earths to ll it. Facts: The tormula for volume of a sphere is a cubic function dependent on the radius. V(r = gm} Facts: The Sun's radius is 432,690 miles. The Earth's radius is 3,958.8 miles. Part 2A: Graph to Equation (4 points) (3.4) Figure 2A.1 Figure 2A.2 Complete the table. Describe the combination of transformations step by step and write the equation that builds on the parent function, f(x) = x3 from Figure 2A.1 to 2A.2. Figure 2A.1 Figure 2A.2 Complete the table. Describe the combination of transformations step by step and write the equation that builds on the parent function, f(x) = x3 from Figure 2A.1 to 2A.2. (Recall the order in which transformations occur SEE LESSON NOTES IF YOU "FORGOT'Q Type of Transformation and Transformation Equation - T(x) Direction 15t Transformation 2\" Transformation 5 *\"Check your work by graphing the parent and your final equation using www.desmos.com to see if your points match up. You do not need to submit the graph. *** Now use the formula for volume of a sphere and complete the same 3 transformations used in Part 2A on the volume equation to build the nal equation. V(r) 2 gm} Type of Transformation and Direction - From Part 2A Transformation Equation - T0\") 15' Transformation 2ml Transformation 3\" Transformation Final - TH] =