Asymptotes and intercepts of quadratic equations


Assignment:

Q1. The value of f(x) = 12 is
a) minimum
b) maximum

Q2. Find the x-intercepts and the y-intercepts
f(x) = -x2 + 2x + 8
    
a) The x-coordinates of the intercepts are x=
b) The y intercepts is

Q3. Find and label the vertex and line of the symmetry.
f(x) = 1 / 4x2
   
a) The vertex is  (type in an ordered pair)
b) The equation of the line of the symmetry is x =

Q4. Solve
a)  5x + x(x - 3) = 0
b) Find the x-intercepts of

Q5. Give exact and approximate solutions to three decimal places/

x2 + 12x + 36 = 64

Q6. Solve the formula for the given letter. Assume that all variables represent non-negative numbers
E = ic2

Q7. Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax2 + bx + c = 0
The solutions are  -6 and 3

Q8. Solve by completing the square.
x2 +7 / 2x = 7

Q9. Give exact and approximate solutions to three decimal places.
x2 - 5x + 3 = 0

a) Exact solutions are x=???
b) Approximate solutions to three decimal places are x=???

Q10. Determine the nature of the solutions of the equation.
x2 - 4x + 5 = 0

a) One real solution
b) Two real solutions
c) Two non-real solutions

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

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Algebra: Asymptotes and intercepts of quadratic equations
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