Quadratic Relations- Vertex to Standard Form - MBF3C Quadratics II Date Quadratic Relations Vertex to Standard Form Review y = mx b the equation of a

# Quadratic Relations- Vertex to Standard Form - MBF3C...

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MBF3C – Quadratics II Date: _________________________ Quadratic Relations: Vertex to Standard Form Review y mx b = + the equation of a straight line in slope y-intercept form Ax By C + + = 0 the equation of a straight line in Standard Equation form Therefore ( ) y a x h k = + 2 is the Vertex Form of a Quadratic Equation y ax bx c = + + 2 is the Standard Form of a Quadratic Equation DISCOVERY What do you notice about the two graphs? Sketch the following equation: ( ) y x = + 2 2 1 Use a table of values to sketch y x x = + 2 4 5 x y x x = + 2 4 5 y -1 y = (-1) 2 – 4(-1) + 5 10 0 y = (0) 2 – 4(0) + 5 5 1 y = (1) 2 – 4(1) + 5 2 2 y = (2) 2 – 4(2) + 5 1 3 y = (3) 2 – 4(3) + 5 2 4 y = (4) 2 – 4(4) + 5 5 The graphs are the same, therefore the equations are the same but written differently.
MBF3C – Quadratics II Date: _________________________ Recall Expanding 1) -3 (2x +3) = -6x – 9 2) (x – 2) 2 = (x – 2)(x – 2) = x 2 – 2x – 2x + 4 = x 2 – 4x + 4 3) -2 (x + 3) 2 = -2 (x + 3)(x + 3) = -2 (x 2 + 3x + 3x + 9) = -2 (x 2 + 6x + 9) = -2x 2 -12x – 18 distribute FOIL collect like terms FOIL collect like terms distribute Write the Quadratic Relation in Standard Form 1) y = (x + 6) 2 y = (x + 6)(x + 6)

• Fall '14
• nunu

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