Assignment:
Graph the equation.
Q1. y = x2 - 4x
Q2. y = -x + 1
Q3. y = x + 1
Q4. y = 2x2
Complete the table, answer the problem. And describe the resulting graphs by identifying the vertex point, the graph’s direction, and any axis intercepts gleaned from the table or graph.
Q5. Identify the axis of symmetry, crate a suitable table of value, and sketch the graph
5y = -x2 + 6x - 2
Q6. Find the x-intercepts
y = x2 + x + 6
Solve each of the following applications. Give all answers to the nearest thousandth
Q7. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
Q8. The equation h = -16t2 + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180ft.
Q9. A ball is thrown upward from the roof of a building 100m tall with an initial velocity of 20m/s. Use this information for exercises to solve this problem.
When will the ball reach a height of 80m?
Q10. The demand equation for a certain type of printer is given by
D = -200p + 35,000
The supply equation is predicted to be
S = -p2 + 400p - 20,000
Find the equilibrium price.
Provide complete and step by step solution for the question and show calculations and use formulas.