Answer: Vertical stretch by a factor of 5.8 , reflection across x-axis ⇒ answer B
Step-by-step explanation:
* Lets revise the vertical and horizontal stretch with reflection
- A vertical stretching is the stretching of the graph away from the
x-axis
- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched
by multiplying each of its y-coordinates by k.
- If k should be negative, the vertical stretch is followed by a reflection
across the x-axis
- A horizontal stretching is the stretching of the graph away from
the y-axis
- If 0 < k < 1 (a fraction), the graph of y = f(k•x) is f(x) horizontally
stretched by dividing each of its x-coordinates by k.
- If k should be negative, the horizontal stretch or shrink is followed
by a reflection in the y-axis
* Lets solve the problem
∵ G(x) = sin x
∵ F(x) = -5.8 sin x
∴ F(x) = -5.8 G(x)
- From the rule above
∴ G(x) is stretched vertically by scale factor -5.8
∵ The scale factor is negative
∴ The vertical stretch is followed by a reflection across the x-axis
* The transformation is:
Vertical stretch by a factor of 5.8 , reflection across x-axis
