Mathematics: 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 axis

Identify the equation of the parent function y=x^3

Ответ:

chimmyy14

09.03.2022

Mathematics

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

Step-by-step explanation:

As we know that,

'Horizontal stretch, stretches the function left or right on the x-axis'.

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. $y=\frac{x^{3}}{125}$ .

Further, the function is reflected over y-axis.

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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Ответ:

garciavergaraana

22.01.2022

Mathematics

Just multiply the numbers 50×25×2 which 2500. In other words they want to you to find the Volume of the pool. So it will take 2500m^3 of water to completely fill the pool

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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 axis

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