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Module 7 Lesson One Conic Sections Circles & Parabolas Practice To complete this assignment, you will need to show how to graph circles. You have several options to complete this task. You may complete this assignment by hand (similar to a face to face class) and scan your assignment in and upload the image. If you don’t have access to a scanner, you may take snapshots of your assignment and upload the pictures. Or you may complete the assignment in a word document and insert your hand drawn graphs into the document and submit one document instead of several images. If you need help with this, please contact me. When you have completed this assignment please upload your assignment in the link provided in the course. Here are the equations for some circles. Graph each circle on graph paper. 1) x 2 y 2 16 Center (0, 0) Radius 4 3) x 2 y 2 27 Center (0, 0) Radius 3 3 5.196 5) ( x 1)2 y 2 17 Center (-1, 0)n Radius 17 2) x 2 y 2 100 Center (0, 0) Radius 10 4) ( x 3)2 ( y 2)2 9 Center (3, -2) Radius 3 6) x 2 ( y 6)2 36 Center (0, 6) Radius 6 Write the equation for the circles shown in each graph. 7) Center (0, 0) r=6 x² + y² = 36 8) Center (-1, 6) r = 6 (x + 1)² + (y – 6)² = 12 9) Center (3, -1) r = 3 (x – 3)² + (y + 1) ² = 9 10) A circle has its center at the point (5, -3) and goes through the point (-1, 4). Give the equation for the circle. Radius² = (5 - -1)² + (-3 – 4)² = 6² + (-7)² = 85 (x – 5)² + (y + 3) ² = 85 11) A circle has its center at the point (-2, 1) and goes through the point (5, 6). Give the equation for the circle. r² = (-2 – 5)² + (1 – 6)² = 74 (x + 2)² + (y – 1)² = 74 Find the point(s) of intersection of the following systems. Round your answers to 3 decimal places. x 2 y 2 16 y 3x 1 ² + (3x + 1)² = 16 x² + 9x² + 6x + 1 = 16 10x² + 6x – 15 = 0 12) 13) x 2 ( y 4)2 10 y x2 1 x² + (x² -1 -4)² = 10 x² + (x² - 5)² = 10 x² + x4 – 10x² + 25 = 10 x4 – 9x² + 15 = 0 (2.606, 5.791) and (1.486, 1.209) x = 0.961 and x = -1.561 Sub in x-values into y = 3x + 1 (0.961, 3.883) and (-1.561, -3.682) Write the equation of the parabola in standard form: 14) y 5x 2 1 x² = 5 𝑦 1 x² = 4(20) 𝑦 15) y 3x 2 0 1 x² = -3y 16) x 9 y 2 1 1 x² = 4(− 12) 𝑦 y² = 9x 1 y² = 4(36) 𝑥