Answer:
The answer is (A) ⇒ G(x) = 7(-x)³
Explanation:
* In transformation:
- Reflecting across the y-axis means change the sign of x-coordinate
- Stretch vertically means multiply f(x) by constant k, where k > 1
∵ F(x) = x³
- At first we reflect it across the y-axis
∴ We must change the sign of x to -x
∴ F(x) = (-x)³
- At second we stretch it vertically by constant 7
∴ We multiply F(x) by 7
∴ F(x) = 7(-x)³
∴ The answer is (A) ⇒ G(x) = 7(-x)³
In the graph the red is F(x) , the blue is G(x)