1. [-11 Points] DETAILS LARPCALC10 10.2.014. Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. Focus (-4.5, 0) Need Help? 2. [-/1 Points] DETAILS LARPCALC10 10.2.022. MY NOTES Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. Directrix: X = 4 Need Help? Read It Watch It 3. [-/1 Points] DETAILS LARPCALC10 10.2.024. MY NOTES Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. Vertical axis and passes through the point (-5, -5). Need Help? Read It Watch It4. [-11 Points] DETAILS LARPCALC1010.2.030. l M' Find the standard form of the equation of the parabola with the given characteristics. Vertex: (3, 6); focus: (5, 6) Z Need Help? 5. [-11 Points] DETAILS LARPCALC1010.2.034. l M' Find the standard form of the equation of the parabola with the given characteristics. Focus: (0, 0); directrix: y = 4 Z Need Help? 7. [-/1 Points] DETAILS LARPCALC10 10.2.058. MY NOTES ASK YOUR TEACHER | PRACTICE ANOTH Find the equation of the tangent line to the parabola at the given point. e = (5.25) Need Help? 8. [-/1 Points] DETAILS LARPCALC10 10.2.064. MY NOTES ASK YOUR TEACHER | PRACTICE ANOTH Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road is 32 feet wide and 0.4 foot higher in the center than it is on the sides (see gure). (a) Write an equation of the parabola with its vertex at the origin that models the road surface. (Assume that the origin is at the center of the road.) (b) How far from the center of the road is the road surface 0.2 foot lower than the center? (Round your answer to one decimal place.) ft Need Help? 9. [-/1 Points] LARPCALC10 10.2.067. ASK YOUR TEACHER Water is owing from a horizontal pipe 48 feet above the ground. The falling stream of water has the shape of a parabola whose vertex (0, 48) is at the end of the pipe (see gure). The stream of water strikes the ocean at the point (1o\\/, 0). Write an equation for the path of the water. 4811 Need Help