Please put as much step by step explainations as possible. If you decide to do the step by step explainations on paper, please make sure that the picture quality is good enough for me to see. Thank you!

These assignments are about Solving Quadratic Systems Graphically

Math 20-1 D5 - MODULE 4: LESSON 5 ASSIGNMENT 25 Marks Please show your work. 1. Solve the following systems by graphing. Then show how the solutions would be veried. y=x33x4 a. y=3:r13 Answer: (3) y= 2x2+ 7x- 5 bi y= -1x2- 2x+9 3 Answer: (6) 2. Two numbers are related to each other in the following ways: . The second number is ve more than the square of the rst number. . The product of triple the rst number and three less than the first number is equal to the second number. a. Model this information with a system of equations. (2) Answer: b. Solve this system by graphing. (4) Answer: 0. Verify your solution. (2) Answer: 3. Consider the following graph. Math 20-1 vertex (7.5, 21) Horizontal Distance A rollercoaster track consists of a series of vertical curves. Near the top of one of these curves, the track enters a tunnel, where passengers ride in the dark for a short duration. The parabola in the graph represents the rollercoaster track. The vertex ofthis parabola is at (7.5, 21 ), and another point on the track is at (0, 9). A steel beam is part ofthe supporting structure of the rollercoaster track. The beam is attached to the framework at the points (0, 12) and (12, 19). a. Determine the equations describing the parabola and the line. (4) Answer: b. Using a graphing method, determine the two points where the steel beam is attached to the rollercoaster track. Be sure to include the following: 0 any equations you input into the graphing tool 0 the window used c the solutions Answer: (4) Submit your completed assignment to Dropbox D5 by the deadline