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ira [324]
3 years ago
14

Let f(x)=4x^2+6 .

Mathematics
2 answers:
elena-s [515]3 years ago
8 0

Answer:

1 - g(x)=4x^2+2.

2 - g(x)=6x^2-8

Step-by-step explanation:

Ques 1: We are given the function, f(x)=4x^2+6

Now, we have, the function f(x) is translated 4 units down to get the function g(x).

Thus, the translated function is, g(x)=4x^2+6-4.

That is, the translated function is, g(x)=4x^2+2.

Ques 2: We are given the function, f(x)=\frac{3}{4}x^2-1

Now, we have, the function f(x) is stretched vertically by a factor of 8 to get the function g(x).

Thus, the stretched function is, g(x)=8\times (\frac{3}{4}x^2-1)

That is, the stretched function is, g(x)=6x^2-8

Aleks [24]3 years ago
5 0
1.) g(x)=4x^2+2
2.) g(x)=3/4x^2+7
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