Key Features Of Quadratic Functions Worksheet Pdf

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A quadratic function is any function that can be expressed in the form f (x) ax2 bx c or y ax2 bx c where a, b and c are real numbers and a 0 This function has a degree of __, and is called the _____ of the function. Quadratic Functions Not Quadratic Functions y 2x2 7x 3 y x3 3x2 5x. %PDF %¡³Å× 2 0 obj > endobj 4 0 obj >stream u® æRÎìW9,à6ÜUZ > ᪠Ûc›G ¸ JКVüqæó|ÿìêRþ°_¶¬Ÿ–[ò} 9ØEæ6çÆ® bZo' wæ KêEvOÀ &(›Òdý gÞõ ¥@ Dö©â‰_ rd·þ®òHŽ|£Mwuð{BÔƒâmëkK AYn âÏ›—û¬Ó Ã%ƒÿ#ñm,ôè. œcm Zy‰Ê¬÷Ø­Dr ¤‘@Ñ7KE9õ,H:Ý “*vŠÌ·#áúÀ# \HÖ8’Û»8* ŸÁª¡þ^„¾{˜“٠ȃË. Graphs of quadratic functions have several key features. Use the definitions below to label each attribute on the parabola at the right. VERTEX The _____or _____ point of the parabola. MAXIMUM/MINIMUM The _____of the vertex. Y-INTERCEPT The . You can solve quadratic equations of the formax2 bx c 0, wherea 0, using the quadratic formula, For example, in the quadratic equation 3x 2 5 x 2 0, where a = 3, b = 5 and c = −2. Features of Quadratic Functions Key Learnings: Minds On: Remember that y = mx + b is the equation for a straight line. There are other equations that represent functions that are not straight lines. The equation y = x2 represents the most basic quadratic function. Graph this function by completing a table of values. 2. Characteristics of Quadratic Functions Worksheet Find the following Characteristics of each graph. 1. D: R: Interval of Increase: Interval of Decrease: Axis of Symmetry: _____ Vertex: Max or Min? _____ at _____ End Behavior: As x - ∞, y _____ As x ∞, y _____. Characteristics of Quadratic Functions Per ___ Date _____ Determine the value of the zeros, the equation of the axis of symmetry, the max or min value and the vertex. 1. Show all work that leads to each answer. (b) Find the y-intercept of the graph of the function. (c) Rewrite the function in standard form by completing the square. (d) Graph the function. Label the vertex and all intercepts on your graph. (e) Determine the range of the function in interval notation. Math 2 U Key Features of Quadratics Name: Graphing Quadratic Functions (By Hand) In order to graph a quadratic equation, we will NEED to obtain the following information.) axis of symmetry 2.) vertex (max or min point) 3.) factors/zeros (x-intercepts) 4.) y-intercept.