I need help with my math homework. I did the first two problem, but do not understand the rest.

8:24 N\\ Name _gQy [Li iudkes Algebra 8 Solve each word problem using any method we discussed. 1. When 5 is subtracted from the square of a number, the result is twice the differenca of that number and three. Find all possible solutions. il - Aflyes 4 =8 = R f Solution'__:.7 L | 2. Asqguare's sides are altered so that one dimension is increased by four and the other dimension is decreased by two. The area of the resulting rectangle (new shape created) is 55 cm?. **Draw the shapes to help you visualize the situation* A. What equation represents the new shape? B What are the dimensions of the new shape? C. What are the original square's dimensions? D. What is the area of the original square? 3. A stunt diver jJumps from the top of a platform. Her height is modeled by the quadratic equation ## = =5 + 10t + 40, where / is height in meters and i is time in seconds. How long will it take the diver to reach the water? 8:24 N\\ HPSCAN_20240... v D. What is the area of the original square? 3. A stunt diver jumps from the top of a platform. Her height is modeled by the quadratic equation /= =5 + 10t + 40, where h is height in meters and { is time in seconds. How long will it take the diver to reach the water? Solution: 4. The nath of 2 ball thrown in the air is representad by the equation h = -7 + 8t, where is the height in meters. and t is time in seconds I A, What is the time it takes the ball to reach 7 meter B. How long will it take the ball to hit the ground, before it rebounds? C. What is the maximum height that the ball will reach? 5. Graphy:xz_6x+5 Axis of symmetry: [ 1 Vertex: 32 N HPSCAN_20240... v 5. Graphy=x'-6x+5 Axis of symmetry: Vertex: Y-intercept: Two additional points: 6. Graphy=4(x-1)-2 a= b= c= Opens upward / downward?(circle one) Vertex: ( , e Maximum/Minimum (circle one) at ( , ) Axis of Symmetry: Y- intercept: ____ Domain: Range: X-intercepts : A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)=-16x* + 64x + 80. How long will it take the rocket to hit the lake? 8:24 N\\ Demain: T ' L] B 5 ; ' L*__i- ..i i_tf Range: T v R P X-intercepts : 7. A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)=-16x? + 64x + 80. How long will it take the rocket to hit the lake? 8. While playing catch with his grandson yesterday Tim threw a ball as hard as possible into the air. The height, h in feet of the ball was given by & = -16t\" + 64t + 8 where tis in seconds. a) How long did it take for the ball to reach his grandson's glove if he caught it at a height of 3 ft? b) What is the maximum height of the ball? 9. The graph of a quadratic has a vertex of (-3, 2). One point on the graph is (-1,-5), what is another point? Explain or show how you found this point