The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created by the water is 32 inches wide and 27 inches high. Find a quadratic function, W, that models the water height.

Q: The distance required to stop a car varies directly as the square of its speed. If it requires 200…

A: The distance is directly proportional to square of the speed. That is, d α s2⇒d=k·s2   →1  where k…

Q: Emily's height while jumping on a trampoline can be given by the equation h = -16t2 + 16t + 5, where…

A: Maximum height

Q: Sarah dove off a diving platform into a pool. The dive as she returns to the surface can be modeled…

A: The modeled equation is:y=0.75x2-8x+15

Q: A human slingshot was used to launch a stunt  man into the air across two football fields where he…

A:

Q: You were 20 inches tall when you was born, and 48 inches tall on your 8th birthday. Create a linear…

A: Let x = The number of years      y = The height in inchesWe have the point(0 , 20) →at birth the…

Q: Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the…

A: Initial amount of water, y intercept =8 inches Slope,m=3inches per day

Q: Complete the square to re-write the quadratic function in vertex form: y = x + 4x + 4

A:

Q: The cables between two telephone poles can be modeled by the equation y=0.0024x^2-0.1x+24 where x…

A:

Q: The distance to stop a certain vehicle varies directly with the square of its speed. It takes 320…

A: If a is directly proportional to b then a∝b If a is inversely proportional to b then a∝1b To convert…

Q: A parabola has a vertex at (4,-11) and runs through the point (8,-123). Determine the equation for…

A:

Q: the Eastville High School marching band wants to make a formation shaped like a large E. The sum of…

A: Given:- The Eastville High School marching band wants to make a formation shaped like a large E. The…

Q: A company sells widgets. The amount of profit, y, made by the company, is related to the selling…

A: Given, The amount of profit is y The selling price of each widget is x The equation is…

Q: Rewrite the following quadratic function y = 2x2 – 18x + 28 in vertex form by completing the square.…

A: The question has asked about basic concepts of quadratic equation.

Q: I need help finding the table and the roots of the function and the function y-intercept.

A: Let's the function f(x) be a polynomial with  f(-1)=24, f(0)=-5, f(1)=0, f(2)=-6, f(3)=-8, f(6)=10.…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.