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