Graph of a Quadratic Functions

[b][i][size=150][color=#0000ff]Good morning class![/color] [/size][/i][/b][br][br][size=100][b]Welcome to another day filled with enjoyable activities and learning![/b][/size]
What do these pictures have the same in common?
[img]https://1.bp.blogspot.com/-WzFicpco5wA/TatX8Q8AHQI/AAAAAAAAABw/DPBcSKUQ_dY/s1600/Screen%2520shot%25202011-04-17%2520at%25205.11.48%2520PM.png[/img][img]https://sites.google.com/site/124parabolas/_/rsrc/1433025686927/real-life-examples/bridge.jpg[/img][img]https://i.pinimg.com/originals/dc/e1/92/dce192eb0dce817f2f6fd7869f827f13.jpg[/img]
DEFINITION OF TERMS
[b][color=#ff0000]domain of quadratic function[/color][/b] - the set of all possible values of x. Thus, the domain is the set of all real numbers.[br][br][b][color=#ff0000]range of quadratic functions[/color][/b] – consists of all y greater than or equal to the y coordinate of the vertex if the parabola opens upward. [br][br][b][color=#ff0000]intercepts or zeroes of quadratic functions[/color][/b] – the values of x when y equals 0. The real zeros are the x-intercepts of the function’s graph. [br][br][b][color=#ff0000]axis of symmetry / line of symmetry[/color][/b]– the vertical line through the vertex that divides the parabola into two equal parts. [br][br][b][color=#ff0000]vertex[/color][/b] – 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). [br][br][b][color=#ff0000]direction of the opening of the parabola[/color][/b] – can be determined from the value of a in f(x) = ax[sup]2[/sup]+bx + c. If a>0, the parabola opens upward; if a<0, the parabola opens downward. [br][br][color=#ff0000][b]maximum value[/b][/color] – the maximum value of f(x) = ax[sup]2[/sup]+bx + c where a< 0, is the y coordinate of the vertex. [br][br][b][color=#ff0000]minimum value[/color][/b] – the minimum value of f(x) = ax[sup]2[/sup]+bx + c where a> 0, is the y coordinate of the vertex. [br][br][b][color=#ff0000]parabola[/color][/b] – the graph of quadratic function[br][br][b][color=#ff0000]quadratic function[/color][/b] – a second- degree function of the form f(x) = ax[sup]2[/sup]+bx + c, where a, b, and c are real numbers and a≠0. This is a function which describes a polynomial
[b]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.[/b]
Watch this video and learn how to graph a quadratic equation.
Answer the following activity. (just choose 3 items in part 1 and other 3 in part 2.
[b][i][color=#0000ff][size=200]THANK YOU FOR TODAY![/size][/color][/i][/b]
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Information: Graph of a Quadratic Functions