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Part 2: Making the Connection Facts: The Sun's volume would need 1.3 million Earths to ll it. Facts: The formula for volume ofa sphere is
Part 2: Making the Connection Facts: The Sun's volume would need 1.3 million Earths to ll it. Facts: The formula for volume ofa sphere is a cubic function dependent on the radius. V(r)= -1rr3 Facts: The Sun's radius is 432,690 miles. The Earth' 5 radius 13 3,958.8 miles. Part 2A: Graph to Equation (4 points) 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 m which transformations occur SEE LESSON NOTES IF YOU \"FORGO T\") LL ! C O X + I O Q 1 ( x - 2 ) ( 2 , 7 *Check your work by graphing the parent and your final equation using www.desmos.com to see if our points match up. You do not need to submit the graph. *** Part 2B: The Connection (2 points) Now use the formula for volume of a sphere and complete the same 3 transformations used in Part 2A on the olume equation to build the final equation. V(r) = AT73 Type of Transformation and Transformation Equation - T(r) Direction - From Part 2A 1 st Transformation 2nd Transformation 3'd Transformation Final - T(r) = ( x ) ta = translation in the y- ourcation (-2, 3) ( -2, 5 ) 4 1 ( ) + 2 1 PR ( x - 3 ) ts is a translation by mis ( 2 , 1 ) - ( - 1,8 )
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