√ダウンロード y=x^2 transformations 968678-Transformations of y=x^2 parent parabola

Content Transformations Of The Parabola

How is the parent function y∙ ∣x ∣ transformed?1¾2) {U = X=Y » C(0;1){V = X ¡Y » N(0;2¾2)† What is the joint distribution of U = X Y and V = X=Y if X » Gamma(ﬁ;‚) and Y » Gamma(ﬂ;‚) and X and Y are independent Approaches 1 CDF approach fZ(z) = d dzFZ(z) 2

Transformations of y=x^2 parent parabola

Transformations of y=x^2 parent parabola-What are the transformations?Have students predict what they think the graphs of y = sin(x 2) and y = sin(x 2) will look like y = sin(x 2) y = sin(x 2) Notice that in the graph of y = sin(x 2) the sine curve has been translated to the left two units In the graph of y = sin(x 2)

Content Geometric Transformations Of Graphs Of Functions

X y y = − 2 x ← D i l a t i o n a n d r e f l e c t i o n − 1 − 2 y = − 2 − 1 = − 2 ⋅ 1 = − 2 0 0 y = − 2 0 = − 2 ⋅ 0 = 0 1 − 2 y = − 2 1 = − 2 ⋅ 1 = − 2 Use the points {(−1, −2), (0, 0), (1, −2)} to graph the reflected and dilated function y = − 2 x Then translate this 1652 Horizontal Transformations In the previous section, we introduced the concept of transformations We made a change to the basic equation y = f (x), such as y = af (x), y = −f (x), y = f (x) − c, or y = f (x) c, then studied how these changes affected the shape of the graph of y = f (x) Vertex form y=a(xh)^2k All parabolas are the result of various transformations being applied to a base or "mother" parabola This base parabola has the formula y=x^2, and represents what a parabola looks like without any transformations being applied to it The table of values for a base parabola look like this

If x is 2, you will get #y=16# If x is 1, you will get #y=4# If x is zero, y will be zero If x is 1, you will get #y=4# If x is 2, you will get #y=16# etc The graph is below graph{(2x)^2 933, 1067, 092, 908}The point ()1, 1 is on f x After a series of 3 transformations, ()1, 1 has been moved to () 2, 7 − Write a function g () x that represents the transformations on f () xY = 2x y = 2 x The transformation from the first equation to the second one can be found by finding a a, h h, and k k for each equation y = abx−h k y = a b x h k Find a a, h h, and k k for f (x) = 2x f ( x) = 2 x a = 1 a = 1 h = 0 h = 0 k = 0 k = 0 The horizontal shift depends on

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The answer is either 1 Translation 2 units to the left, then reflect across the yaxis, or 2 reflect acrosJust add the transformation you want to to This is it For example, lets move this Graph by units to the top Your exercise The function shall be moved by

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