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gmany

Translations

y = f (x) + m up m units

y = f (x) - m down m units

y = f (x + m) left m units

y = f (x - m) right m units

Stretches/Shrinks

y = n · f (x) stretch vertically by a factor of n

y = 1/n · f (x) shrink vertically by a factor of m (stretch by 1/n)

y = f (1/n x) stretch horizonally by a factor of n

y = f (nx) shrink horizontally by a factor of n (stretch by 1/n)

Reflections

y = - f (x) reflect over x-axis (over line y = 0)

y = f (- x) reflect over y-axis (over line x = 0)

x = f (y) reflect over line y = x

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g(x) = -1 · f(x) = -f(x) → reflect over x-axis

Answer: A. The graph flips over the x-axis

carlosego

The answer is the first option: The graph flips over the x-axis.

The explanation for this exercise is shown below:

1. When you multiply a function by -1 alll the positives values of y now will be negative, and the points negative y-axis.

2. As you can see in the figure attached, if you have a function [tex]f(x)=x^{2}[/tex] and you multiply it by -1, the graph will flip over the x-axis.

Ver imagen carlosego

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