NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t' + 295t + 304. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level. Question Help: Video 1 Video 2 Submit QuestionThe height y {in feet) of a ball thrown by a child is where J: is the horizontal distance in feet from the point at which the ball is thrown) {a} How high is the ball when it leaves the child's hand? (21' feet {b} What is the maximum height of the ball? I:] feet (c) HowI far from the child does the ball strike the ground? Round your answers to the nearest 0.01. :1 reel Question Help: El Video Submit Question Abox with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. The box is to hold 2333 in3. How big a piece of cardboard is needed? Your answer is: I I in. by I - in. Question Help: El Video Submit Question We are standing on the top of a 1151 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is Mt} = ltit2 + 224i + 1152. What is the highest point that the object reaches? I feet An object is thrown upward at a speed of 16:3 feet per second by a machine from a height of ? feet off the ground. The height h of the object after t seconds can be found using the equation I: = 1IErt2 + 158i + '4'" When will the height be 15 feet? C] Select an answers- When will the object reach the ground? C] Select an answers- Agardener has at} feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any.r fencing. river -@ What dimensions would guarantee that the garden has the greatest possible area? shorter side: I I ft {feet} longer side: I I ft {feet} greatest possible area: I I ft2 {square-feet] A parabola that passes through the point (8, 45) has vertex (-2, 15). Its line of symmetry is parallel to the y-axis. Find equation of the parabola: y = When x = 18, what is the value of y: What is the average rate of change between x = -2 and x = 18: (fraction, or decimal rounded to thousands; no mixed fractions) Submit QuestionIdentifying The Domain, Range and Horizontal Intercepts of a Quadratic Function For each of the following quadratic functions: 1. Determine the Domain of the Function 2. Determine the Range of the Function 3. Use the Intersect Feature and your graphing calculator to determine the Horizontal Intercepts, if any. Round your answers to one decimal places as needed [Hint: If two Horizontal Intercepts exist, enter them as (21, y1), (x2, y/2). If only one exists, enter (@1, y1). If none exist, enter DNE] Range Function Domain Horizontal Intercepts In Interval Notation In Interval Notation As a list of ordered pairs f(x) = 3x- + 6x - 2 g(x) = c' +2x +5 f(x) =-1'+9 p(t) = 3t- + 12t h(x) = 2x2The graph of f(x) is shown in red. Draw the graph of g(x) = f(-x). Make sure to start at one of the endpoints, not the middle -8 -7 -6 -5 -4 -8 -2 -1 4 5 6 78 point. After finishing the graph, click outside the grid to stop drawing