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

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  Find the axis of symmetry. y = x2 + 5x - 7 Completing the square, we have So the axis of symmetry is x = -5/2 2. Solve. 5(x - 2)2 = 3 , so 3. Solve by completing the square.

• Quadratic Equations (21 Problems)

  The demand and supply equations for a certain item are given by D = -5p + 40 S = -p2 + 30p - 8 Find the equilibrium price. A) $1.29 B) $1.43 C) $1.57 D) $1.71 21. a. b.

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  267868 Cumulative Equation Problems Ch. 10 Cumulative Problems 1) solve (X - 4)2 = 3 2) solve 5 (X - 2)2 = 3 3) solve - 9 (X - 3)2 = - 7 4) solve by completing the square 2 X2 - 8 X - 9 = 0 5) solve by completing the square 4 X2 + 2 X

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  Identify the axis of symmetry, create a suitable table of values and sketch the graph (including the axis of symmetry) and describe the resulting graphs by identifying the vertex point, the graph's direction, and any axis intercepts gleaned from the table

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  And describe the resulting graphs by identifying the vertex point, the graph's direction, and any axis intercepts gleaned from the table or graph. Identify the axis of symmetry, crate a suitable table of value, and sketch the graph 6.

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  of the quadratic function and graph the function: f(x)=2x2-8x+6 (21) Solve by completing the square (23) Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function: f(x)=x2-2X-1 The solution

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  In other words, the equation has no real roots. RELATIONSHIP TO X AXIS: To locate the x-intercepts of any graph, set y = 0. Since D < 0 the equation has no real roots and so the graph of y = 2 x2 + 12 x + 19 has no x-intercepts.

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  Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry). y = x2 - 4x 42. Find the x-intercepts. y = x2 + x - 5 43. Find the x-intercepts. y = x2 - 4x + 4 44.