Bahm’s EIGHT Steps to Graphing Quadratic Equations (y = ax2 + bx + c) like a CHAMPION! Find the axis of symmetry (x = -b/2a) Substitute.

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Presentation transcript:

Bahm’s EIGHT Steps to Graphing Quadratic Equations (y = ax2 + bx + c) like a CHAMPION! Find the axis of symmetry (x = -b/2a) Substitute your x value into your original equation to get a y-value Put x and y together to get your vertex coordinates Find the Domain (ALL REAL NUMBERS) Find the Range (look at your y-value in the vertex) y ≥ when you have a positive “a” y ≤ when you have a negative “a” Find the y-intercept (look at “c” in your equation Find the increasing interval (look at x-value in the vertex coordinates) > when a is positive < when a is negative Find the decreasing interval (look at x-value in the vertex) < when a is positive > when a is negative

Bahm’s EIGHT Steps to Graphing Quadratic Equations (y = ax2 + bx + c) like a CHAMPION! Find the axis of symmetry (x = -b/2a) Substitute your x value into your original equation to get a y-value Put x and y together to get your vertex coordinates Find the Domain (ALL REAL NUMBERS) Find the Range (look at your y-value in the vertex) y ≥ when you have a positive “a” y ≤ when you have a negative “a” Find the y-intercept (look at “c” in your equation Find the increasing interval (look at x-value in the vertex coordinates) > when a is positive < when a is negative Find the decreasing interval (look at x-value in the vertex) < when a is positive > when a is negative