Consider the parabola given by the equation: m) : 23:2 + 143: + 1 Find the following for this parabola: B) The vertical intercept is the point :l C) Find the coordinates of the two m intercepts of the parabola and write them as a list, separated by commas: :l It is OK to round your yalue(s) to to two decimal places. Write an equation for the quadratic graphed below X-intercepts: (-2,0) and (3,0). y-intercept: (0,-3) -2 -3 Q y=NASA launches a rocket at t : 0 seconds. Its height, in meters above sea-level, as a function of time is given by Mt) : 4.91:2 + 22% + 108. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level. The height y (in feet) of a ball thrown by a child is 1 y: E$2+6m+3 where a: 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? feet (b) What is the maximum height of the (c) How far from the child does the ball strike the ground? :] feet Consider the parabola given by the equation: y = - x + 4x + 10 Find the following for this parabola: A) The vertex = ( B) The y intercept is the point (0, C) Find the two values of x that correspond to the intercepts of the parabola and write them as a list, separated by commas: C = Round your answer(s) to two decimal places.Consider the parabola given by the equadon: y:2$21032+12 Find the following for this parabola: I |) Write your coordinates as numbers or decimals, not fractions. A) The 1vertex = ( z B) The :9 intercept is the point (0, |) x C) Find the two values of 3:: that correspond to the a\": intercepts of the parabola and write them as a list, separated by commas: in: Round your answer(s) to two decimal places. Consider the parabola given by the equation: x) : 23:2 143: 12 Find the following for this parabola: B) The vertical intercept is the point :l C) Find the coordinates of the two a: intercepts of the parabola and write them as a list, separated by commas: :l It is OK to round your value(s) to to two decimal places. Consider the parabola given by the equadon: y : 1m2 + 63: + 8 Find the following for this parabola: A) The vertex = ( z B) The :9 intercept is the point (0, l) x C) Find the two values of 3:: that correspond to the a: intercepts of the parabola and write them as a list, separated by commas: in: Find the vertex of: f(x) = - 2(x - 7)2 - 7 The vertex isFind an equation for the graph shown below. (Hint: use the form 'y=a(X-h)^2+k') -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 'y='A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 12996 in3. How big a piece of cardboard is needed? Your answer is: | in. by |in. You have a wire that is 98 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum? The circumference of the circle is cm