Assignment:
Q1. Diagonal Brace: The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures √6m. Find the width and height.
Q2. Graph each parabola.
y = -1/3*(x^2) + 5
Q3. Find the vertex and intercept for each parabola.
g(x) = x^2 +x-6
Q4. Maximum Height. If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t) = -16t^2 + 32t. When t is time in seconds, graph this parabola for 0 ≤ t ≤ 2. What is the maximum height reached by the ball?
Provide complete and step by step solution for the question and show calculations and use formulas.