An engineer is asked to design a playground slide such that the speed a child reaches at the bottom does not exceed 6.0 m/s. Determine the maximum height that the slide can be

1.8 m

Step-by-step explanation:

The motion from the top of the slide is virtually under gravity. The motion starts from rest. We use the equation of motion

and are the final and initial velocities, respectively, a is the acceleration and s is the displacement.

For this motion, initial velocity is 0 m/s, final velocity is 6 m/s, a is the acceleration of gravity (9.8 m/s2) and s is the height, h.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1