Michelle and Maggie are at baseball practice. Michelle throws a ball in to the air then when it drops to a height of 5 ft., she visits the ball. The height from the ball is definitely modeled by the graph under where big t = time in seconds and h = height of the ball from the ground.
Maggie is tossing a ball into the surroundings and finding it. The peak of MaggieГўв‚¬в„ўs ball is definitely modeled by function h(t) = Гўв‚¬" 16t2 & 48t & 15.
Part 1 . Which ball goes higher in the air, the ball that is hit or maybe the ball that is certainly thrown? Employ complete content and show almost all work to clarify how you determined the height that each ball actually reaches.
Part 2 . Determine which usually girl may very well be standing on an increased platform. Work with complete content to explain how you determine which will girl is on the program and then decide the height from the platform.
Component 3. Which ball is traveling at a faster typical rate of change on how up? Use complete paragraphs to explain how you determined the interval at which the height in the ball can be increasing plus the average charge of transform.
A video game producer is definitely using the quadratic function f(x) = some Гўв‚¬" x2 to model the path of the arrow taken by a gamer. The path from the arrow is usually shown inside the graph under. The point (2, 3) presents the top of the castle wall membrane.
If the person moves so the arrow will clear the wall membrane at the maximum height, what is the new function that the video game producer would need to use? Use complete phrases and make clear your work.
Make a quadratic equation in regular form which can be factored.
Write your equation in standard contact form. Use total sentences to clarify the benefits of composing your equation in regular form.
Write your equation in factored kind. Use total sentences to describe the benefits of publishing your equation in factored form.
Write your equation in vertex form. Make use of complete content to explain the benefits of writing the equation in vertex kind.
Explain how all three varieties...