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10 Quadratic Problems : Solving, Completing the Square, Intercepts, Axis of Symmetry and Supply and Demand

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September 28th, 2022

See the attached file.

1. Find the axis of symmetry.
y = x2 + 5x – 7

2. Solve. 5(x – 2)2 = 3

3. Solve by completing the square.
x2 + 2x – 8 = 0

4. Find the x-intercepts.
y = x2 + 5x + 2

5. Is the following trinomial a perfect square? Why?
x2 + 18x + 81

6. The demand and supply equations for a certain item are given by
D = -5p + 40
S = -p2 + 30p – 8
Find the equilibrium price.

7. Solve by using the quadratic formula. 5×2 + 5x = 3

8. Find the constant term that should be added to make the following expression a perfect-square trinomial.
x2 + 7x

9. Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry).

y = x2 – 4x

10. Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry).

y = -x2 + 3x – 3.

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