[b][size=150]The quadratic function is [color=#ff0000]y = x[sup]2[/sup][/color], denoted by function g. [br][br][/size][/b]The transformed basic function is [b][color=#ff0000]y = a(x - h)[sup]2[/sup] +k[/color][/b][br][b][color=#ff0000][size=150][br]Note[/size][/color][/b]: The 'slider' feature on the x-y coordinate plane can be used to change the [color=#ff0000][b]a, h, and k[/b][/color] values [br] for the following exercises. To do so, place the cursor and hold it on the dot of the slider and [br] slide it to the desired h and k values.[br] To move the slider to a different location on the x-y plane, place the cursor and hold it on the line [br] of the slider and move it to the desired location.[br][br][b][color=#ff00ff]Note: You can zoom in or out with the mouse.[/color][/b]

[b][size=150]Perform the following quadratic function transformation:[br][/size][/b]Set h=0[br]Set k=0[br]Slide a for different values.[b][color=#ff00ff][br]What is the effect of "a" on the graph of f(x)?[br][/color][/b]

[b][size=150]Perform the following quadratic function transformation:[br][/size][/b]Set 1=0[br]Set k=0[br]Slide h for different values.[b][color=#ff00ff][br]What is the effect of "h" on the graph of f(x)?[br][/color][/b]

[b][size=150]Perform the following quadratic function transformation:[br][/size][/b]Set a=0[br]Set h=0[br]Slide k for different values.[b][color=#ff00ff][br]What is the effect of "k" on the graph of f(x)?[br][/color][/b]

[b][size=150]Perform the following quadratic function transformation:[br][/size][/b]Set a=1[br]Set h=2[br]Set k=3[b][color=#ff00ff][br]What the turning point of the graph of f(x)?[br][/color][/b]

[b][size=150]Perform the Exercise 4 for some other values of a, h,and k.[br][/size][/b][b][color=#ff00ff]What the turning point of the graph of [/color][/b][b][color=#ff0000]y = a(x - h)[sup]2[/sup] +k? Write the general formula.[/color][/b]

[b][color=#ff00ff]What is the other name for the turning point?[/color][/b]

[b]A function is denoted by function f: [color=#ff0000]y = (x + 3)[sup]2[/sup] - 4. [/color][/b][b][color=#ff00ff]Find the vertex of f(x).[br][br][br][br][/color][/b][size=200]For the following Exercises use a=1.[/size]

[b][color=#ff00ff]Write the quadratic function f(x) with the vertex (2,4).[br][/color][/b]

[size=150][br][b]Discuss [/b]the effect of different values of [color=#ff0000][b]a, h and k [/b][/color] on the graph of a(x-h)[sup]2[/sup]+k.[/size]

How well did you understand the math in this lesson?[br]How did you feel about this lesson?[br]Reflect on the math from this lesson.