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**The Parabola together a Parent function**benidormclubdeportivo.org Topical overview | Algebra 1 summary | MathBits" Teacher resources

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For the family of quadratic functions, y = ax2 + bx + c, the easiest functionof this kind is y = x2.
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The "parent" parabola can give birth come a myriad of other parabolic shapes through the process of transformations. Brush off your memories of transformations and also let"s take a quick look in ~ what is possible. When graphing quadratic attributes (parabolas), store in mind that two creates of equations might be used: move the graph vertically - up or down y = x2+ k moves the graph increase 4 devices y = x2+ 4 moves the graph down 4 units y = x2- 4move the graph horizontally - left or right y = (x - h)2 y = (x - 4)2 moves the graph ideal 4 systems )y = (x + 22moves the graph LEFT 2 systems flip the graph end the x-axis (negates the y-values that the coordinates)y = -(x2) parental graph y = x2 parental reflected over y = -(x2)x-axis flip the graph end the y-axis (negates the x-values that the coordinates) y = (-x)2 parental graph y = x2 parental reflected over y = (-x)2y-axis stretches away from the x-axis or compresses toward the x-axis y = a • x2 | a | > 1 is a stretch; 0 parental graph y = x22 vertical compression y = ¼(x)2 upright stretch y = 4(x)See more: How Many Calories Are In A Fried Chicken Wing S, Calories In Flour stretches away from the y-axis or compresses towards the y-axis y = (a • x)2 | a | > 1 is a compression by element of 1/a; 0 parental graph y = x2y = (¼x)2 horizontal large y = (4x)2 horizontal compression Topical summary | Algebra 1 outline | benidormclubdeportivo.org | MathBits" Teacher resources Terms the Use |