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kozerog [31]
2 years ago
12

Identify the equation of the parent function y=x^3 that is horizontally streched by a factor of 1/5 and reflected over the y axi

s
Mathematics
1 answer:
choli [55]2 years ago
7 0

Answer:

y=\frac{-x^{3}}{125}

Step-by-step explanation:

As we know that,

<em>'Horizontal stretch, stretches the function left or right on the x-axis'. </em>

The general form of horizontal stretch is given by 'f(kx)', where 0<k<1 is the factor by which function is stretched horizontally.

Since, the function y=x^{3} which is stretched by a factor of \frac{1}{5}.

The new function is y=(\frac{x}{5})^{3} i.e. y=\frac{x^{3}}{125}.

<em>Further, the function is reflected over y-axis.</em>

That is, the reflected function is y=\frac{(-x)^{3}}{125} i.e. y=\frac{-x^{3}}{125}.

Hence, the required function is y=\frac{-x^{3}}{125}.

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