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September 25th, 2017. Interpreting Various Forms of Quadratic Equations (2.1.2). Vertex Form of The Quadratic Function. *Just like in standard form, first plot the vertex, then the y-intercept, then a point symmetric to the y-intercept. * is the vertex.
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September 25th, 2017 Interpreting Various Forms of Quadratic Equations (2.1.2)
Vertex Form of The Quadratic Function *Just like in standard form, first plot the vertex, then the y-intercept, then a point symmetric to the y-intercept. * is the vertex
Ex. 1: Graph each of the quadratic Functions given in vertex form. Identify the minimum/maximum value, the y-intercept, and the x-intercepts. a) b) c)
Factored Form of The Quadratic Function As opposed to standard and vertex form, first plot the x-intercepts then find their average to get the x-coordinate of the vertex. * and are the x-intercepts, the vertex is
Ex. 2: Graph each of the quadratic functions in factored form. Identify the x-intercepts, the vertex, the minimum/maximum value, and the y-intercept. a) b) c)
Various Forms of Quadratic Equations • Standard Form: . Vertex is found by . • Advantage: y-intercept is the value of , the sign of determines whether the parabola faces up or down. • Vertex Form: • Advantage: vertex is , the sign of determines whether the parabola faces up or down. • Factored Form: • Advantage: x-intercepts are and , the sign of determines whether the parabola faces up or down, the x-value of the vertex is the midpoint of the x-intercepts (so found by ).
Ex 3: For each function, find the intercepts, the vertex, the minimum or maximum, and graph the function. • a) • b) • c) (standard form) (vertex form) (factored form)
