[最も好ましい] y=x^2 transformations 167774-Y=x^2-7 transformation

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To rotate 270º (x,y) → (y, x) In the function graph below, we observe the transformation of rotation wherein the preimage is rotated to 180º at the center of rotation at (0,1) Let us observe the rule of rotation being applied here from (x,y) to each vertex The transformation that is taken place here is from (x,y) → (x, 2y)Question What transformations turn y = x^2 into y= 2 (x 1)^2 3?

Y=x^2-7 transformation

Y=x^2-7 transformation-Y = (−2x)2 y = ( 2 x) 2 The parent function is the simplest form of the type of function given y = x2 y = x 2 Simplify (−2x)2 ( 2 x) 2 Tap for more steps y = 4x2 y = 4 x 2 For a better explanation, assume that y = x2 y = x 2 is f (x) = x2 f ( x) = x 2 and y = (−2x)2 y = ( 2 x) 2 is g(x) = 4x2 g ( x) = 4 x 2 f (x) = x2 f ( xWe can flip it leftright by multiplying the xvalue by −1 g(x) = (−x) 2 It really does flip it left and right!

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Describe the Transformation y=x^24 Step 1 The parent function is the simplest form of the type of function given Step 2 Assume that is and is Step 3 The transformation being described is from to Step 4 The horizontal shift depends on the$$ F_Y(y) = P(Y < y) = P(X^2 < y) = P(\sqrt{y} < X < \sqrt{y}) = \int_{\sqrt{y}}^{\sqrt{y}} f_X(t) \, dt $$ but since $f_X$ is defined piecewise, to proceed at this point we need to analyze several cases We already know that $F_Y(y) = 0$ if $y \leq 0$ and $F_Y(y) = 1$ if $y \geq 4$The function translation / transformation rules shifts the function units shifts the function units shifts the function units to the shifts the function units to the

Graphing transformations of quadratic relations starting from y=x^2Describe the Transformation y=x^22 y = x2 − 2 y = x 2 2 The parent function is the simplest form of the type of function given y = x2 y = x 2 For a better explanation, assume that y = x2 y = x 2 is f (x) = x2 f ( x) = x 2 and y = x2 − 2 y = x 2 2 is g(x) = x2 −2 g ( x) = x 2Describe the Transformation y=2 (x2)^2 y = 2 − (x 2)2 y = 2 ( x 2) 2 The parent function is the simplest form of the type of function given y = x2 y = x 2 Simplify 2 −(x2)2 2 ( x 2) 2 Tap for more steps y = −x2 −4x−2 y = x 2 4 x 2 For a better explanation, assume that y = x2 y = x 2 is f (x) = x2 f ( x) = x

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