# Graph of a Quadratic Functions

Good morning class! Welcome to another day filled with enjoyable activities and learning!

## What do these pictures have the same in common? ﻿  ## DEFINITION OF TERMS

domain of quadratic function - the set of all possible values of x. Thus, the domain is the set of all real numbers. range of quadratic functions – consists of all y greater than or equal to the y coordinate of the vertex if the parabola opens upward. intercepts or zeroes of quadratic functions – the values of x when y equals 0. The real zeros are the x-intercepts of the function’s graph. axis of symmetry / line of symmetry– the vertical line through the vertex that divides the parabola into two equal parts. vertex – the turning point of the parabola or the lowest or highest point of the parabola. If the quadratic function is expressed in the standard form y = a(x-h)2+ k, the vertex is the point of (h,k). direction of the opening of the parabola – can be determined from the value of a in f(x) = ax2+bx + c. If a>0, the parabola opens upward; if a<0, the parabola opens downward. maximum value – the maximum value of f(x) = ax2+bx + c where a< 0, is the y coordinate of the vertex. minimum value – the minimum value of f(x) = ax2+bx + c where a> 0, is the y coordinate of the vertex. parabola – the graph of quadratic function quadratic function – a second- degree function of the form f(x) = ax2+bx + c, where a, b, and c are real numbers and a≠0. This is a function which describes a polynomial

Try to answer the following activity, observe the behavior of the graph of a quadratic function as you changes the values of a, b, and c. Write your observation below.

## Watch this video and learn how to graph a quadratic equation.

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