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diane8879
12.01.2021 •
Mathematics
Select the correct answer from each drop down menu
Function g is a
1.horizontal translation
2.vertical translation
3.reflection
4.dialation
G(x)=
1.4
2. 2
3. -1/4
4. 1/4
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Ответ:
g(x) is a dilation of function f(x), and![g(x) = \frac{1}{4}x^2](/tpl/images/1028/6844/2cbc5.png)
Step-by-step explanation:
Function f is![f(x) = x^2](/tpl/images/1028/6844/32f84.png)
So:
When![x = 0, f(x) = 0](/tpl/images/1028/6844/cf045.png)
When![x = 1, f(x) = 1](/tpl/images/1028/6844/aa409.png)
When![x = 2, f(x) = 4](/tpl/images/1028/6844/1610a.png)
When![x = 3, f(x) = 9](/tpl/images/1028/6844/b7252.png)
Now
For function g, looking at the graphic, we have that:
When![x = 0, g(x) = 0](/tpl/images/1028/6844/8ec60.png)
When![x = 2, g(x) = 1](/tpl/images/1028/6844/706d7.png)
When![x = 3, g(x) = 2.5](/tpl/images/1028/6844/52a99.png)
That is, g(x) is a fourth of f(x).
This means that we have a dilation by a factor of 1/4, so![g(x) = \frac{1}{4}x^2](/tpl/images/1028/6844/2cbc5.png)
Ответ: