4.1 Graph Quadratic Functions in Standard Form

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Presentation transcript:

4.1 Graph Quadratic Functions in Standard Form

Vocabulary Quadratic Function: equation that is based off of the form y = ax2 + bx + c Parent Function of a Quadratic Equation: y =x2 Vertex of a Quadratic Equation: (-b/2a, ) x = -b/2a (this formula give the x value of the vertex) Sub the x-value into the equation to find the y value of the vertex Axis of Symmetry: line that would divide the parabola in half : equation of the line is x = #

Graph a Quadratic Equation (Ex 1) y = 2x2 Step 1: Find the Vertex: ( , ) Step 2: Make a Table Vertex Step 3: Plot the points on a Graph x y

Graph the Equation (Ex 2) y = -2x2 – 8x + 6 Vertex: ( , ) Table: