3. Functions

Transformations

Practice
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Scelta multipla
In the coordinate plane, triangle $X Y Z$ has vertices $X (1, 2)$ , $Y (3, 2)$ , and $Z (1, 5)$ . Triangle $U V W$ is a dilation of $X Y Z$ about the origin with vertices $U (2, 4)$ , $V (6, 4)$ , and $W (2, 10)$ . What is the scale factor from $X Y Z$ to $U V W$ ?
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On a coordinate plane, the point $P (2, 3)$ on a figure is dilated about the origin to $P' (6, 9)$ . What is the scale factor of the dilation?
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Scelta multipla
Which equation represents a vertical dilation by a factor of 2 of the function $y = f (x)$ ?
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The green dotted curve below is a graph of the function $f$\left$(x$\right$)$ . Find the domain and range of $g$\left$(x$\right$)$ (the blue solid curve), which is a transformation of $f$\left$(x$\right$)$ .
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Practice
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Practice
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A dilation maps a segment of length $4$ units to a segment of length $8$ units. What is the scale factor of the dilation?
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Practice
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Scelta multipla
In the coordinate plane, a dilation centered at the origin maps point $P (2, 5)$ to $P' (6, 15)$ . What is the scale factor of the dilation?
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Practice
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Scelta multipla
The green dotted line in the graph below represents the function $f$\left$(x$\right$)$ . The blue solid line represents the function $g$\left$(x$\right$)$ , which is the function $f$\left$(x$\right$)$ after it has gone through a shift transformation. Find the equation for $g$\left$(x$\right$)$ .
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Practice
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Scelta multipla
Written below (green dotted curve) is a graph of the function $f (x) = \sqrt{x - 2}$ . If g(x) (blue solid curve) is a reflection of f(x) about the y-axis what is the equation for g(x)?
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Practice
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