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**The Parabola as a Parent role**ubraintv-jp.com Topical rundown | Algebra 2 overview | MathBits" Teacher sources

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For the family of quadratic functions, y = ax2 + bx + c, the simplest functionof this type is y = x2.
The "Children" Graphs: | |||||

The "parent" parabola can offer birth to a myriad of other parabolic forms through the process of transformations. Brush off her memories of transformations and let"s take a rapid look in ~ what is possible. When graphing quadratic features (parabolas), keep in mind the two creates of equations may be used: move the graph vertically - up or down y = x2+ k moves the graph up 4 systems y = x2+ 4 move the graph under 4 devices y = x2- 4move the graph horizontally - left or right y = (x - h)2 y = (x - 4)2 moves the graph best 4 units )y = (x + 22 moves the graph LEFT 2 devices flip the graph over the x-axis (negates the y-values of the coordinates)y = -(x2) parental graph y = x2 parent reflected over y = -(x2)x-axis flip the graph over the y-axis (negates the x-values the the coordinates) y = (-x)2 parental graph y = x2 parent reflected end y = (-x)2y-axis stretches far from the x-axis or compresses toward the x-axis y = a • x2 | a | > 1 is a stretch; 0 parent graph y = x22 upright compression y = ¼(x)2 upright stretch y = 4(x)See more: Can You Use Purified Water In Cpap Machine? Can Purified Water Be Used In Cpap Machines stretches away from the y-axis or compresses toward the y-axis y = (a • x)2 | a | > 1 is a compression by variable of 1/a; 0 parent graph y = x2y = (¼x)2 horizontal large y = (4x)2 horizontal compression Topical overview | Algebra 2 synopsis | ubraintv-jp.com | MathBits" Teacher resources Terms the Use |