GRAPH QUADRATIC FUNCTIONS. FIND AND INTERPRET THE MAXIMUM AND MINIMUM VALUES OF A QUADRATIC FUNCTION. 5.1 Graphing Quadratic Functions.

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GRAPH QUADRATIC FUNCTIONS. FIND AND INTERPRET THE MAXIMUM AND MINIMUM VALUES OF A QUADRATIC FUNCTION. 5.1 Graphing Quadratic Functions

Graph Quadratic Function Quadratic Function Is an equation written in the form f(x) = ax² + bx + c where a ≠ 0 Graph - is a parabola. Y-intercept- where the graph crosses the y-axis X-intercept- where the graph crosses the x-axis Axis of Symmetry- imaginary line where the parabola folds onto its self. Vertex- the point where the axis of symmetry and the parabola intersect.

How to Graph

Finding the y-intercept, the equation of the axis of symmetry and graph the function, label the vertex & two other points. 1) f(x) = x² + 52) g(x) = -x² + 2x - 6

Maximum and Minimum Values

Determine whether each function has a maximum or minimum value and find its value. Then state the domain and range of the function. 1) f(x) = -x² + 72) g(x) = x² – x – 6 3) h(x) = 4x² + 12x + 94) f(x) = -5x²