Finding the axis of symmetry

Question

Assignment:

Cumulative  Problems

Q1) Solve (X - 4)² = 3

Q2) Solve 5 (X - 2)² = 3

Q3) Solve - 9 (X - 3)² = - 7

Q4) Solve by completing the square 2 X² - 8 X - 9 = 0

Q5) Solve by completing the square 4 X² + 2 X - 3 = 0

Q6) Solve by using the quadratic formula 4 X² - 3 X + 3 = 0

Q7) Solve by using the quadratic formula 5 X² - 7 X = 1

Q8) Solve by using the quadratic formula 3 X² = 11 X + 4

Q9) Solve X² + 12 X + 32 = 0

Q10) Solve X² + 5 X - 9 = 0

Q11) Graph the quadratic equation after completing the given table of values.  Y = X² - 1

Q12)  Graph the quadratic equation after completing the given table of values.  Y = - X² + 1

Q13)  Find the axis of symmetry.  Y = X² + X + 1

Q14)  Find the axis of symmetry.  Y = - X² + 4 X + 2

Q15)  Find the intercepts.  Y = X² - 5 X - 10

Q16)  Find the intercepts.  Y = X² - 4 X + 4

Q17) The length of a rectangle is 3 cm more than 2 times its width.  If the area of the rectangle is 99 cm², find the dimensions of the rectangle to the nearest thousandth.

Q18)  The height h in feet of an object after t seconds is given by the function

h = - 16 t ² + 60 t + 9

How long will it take the object to hit the ground?  Round your answer to the nearest thousandth.

Provide complete and step by step solution for the question and show calculations and use formulas.