3.2 Graphing Quadratic Functions The equation of a quadratic - PDF document

Jan 29, 2023 •108 likes •195 views

MPM2D1 U3L2 Graphing Quadratic Functions 3.2 Graphing Quadratic Functions The equation of a quadratic relation may be written in several forms: Factored Form: Standard Form: Vertex Form: Last class, we looked at graphing equations in

MPM2D1 U3L2 Graphing Quadratic Functions 3.2 Graphing Quadratic Functions The equation of a quadratic relation may be written in several forms: Factored Form: Standard Form: Vertex Form: Last class, we looked at graphing equations in Vertex Form. Today, we will look at graphing equations in the other 2 forms. 1
MPM2D1 U3L2 Graphing Quadratic Functions Ex. 1 Graph x 2 8x + 12 Graphing by Factoring 1. Find the xintercepts of the parabola. 2. Plot the xintercepts. 3. State the equation of the axis of symmetry. 4. Find the ycoordinate of the vertex. 5. Draw a smooth curve through the three points you know to be on the parabola. 2
MPM2D1 U3L2 Graphing Quadratic Functions Ex. 2 Graph x 2 + 4x Graphing by Factoring 1. Find the xintercepts of the parabola. 2. Plot the xintercepts. 3. State the equation of the axis of symmetry. 4. Find the ycoordinate of the vertex. 5. Draw a smooth curve through the three points you know to be on the parabola. 3
MPM2D1 U3L2 Graphing Quadratic Functions Ex. 3 Graph 2x 2 + 8x 5 Graphing by Partial Factoring 1. Factor the leading coefficient and x from the first two terms. 2. Find the two values of x that make the factored part equal to zero. 3. Plot the coordinates of the two points you found. 4. State the equation of the axis of symmetry. 5. Find the ycoordinate of the vertex. 6. Draw a smooth curve through the three points you know to be on the parabola. 4
MPM2D1 U3L2 Graphing Quadratic Functions Ex. 4 Graph 2x 2 + 6x + 1 Graphing by Completing the Square 1. Factor out the leading coefficient from the first two terms . 2. Divide the coefficient of the x term by 2 and then square it; add and subtract this number after the x term. 3. Remove the negative number from (2) from the brackets by multiplying it by the number from (1). 4. Factor and simplify. 5. To graph from vertex form, follow what we learned last lesson about step pattern OR use the yintercept to graph. 5
MPM2D1 U3L2 Graphing Quadratic Functions Ex. 5 Complete the Square for the following: a) y = x 2 + 12x 7 b) y = 3x 2 + 4x c) y = 1x 2 + 2x + 4 3 d) y = 0.2x 2 + 1.6x + 3.1 6
MPM2D1 U3L2 Graphing Quadratic Functions Homework Quadratic Functions Booklet p.224 #13 p.234238 #2p2, 3, (4 9)p2, 24, 25 7

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