Answer:
The series of transformations that apply are a vertical compression by a factor of 2 and a translation of 4 units down.
Step-by-step explanation:
In a slope-intercept function, the coefficient of the variable determines whether the graph opens up or down, as well as the amount it stretches. If a function's coefficient is greater than 1, as the value of the coefficient increases, the function becomes more vertically compressed. If a function's coefficient is less than 1 but greater than 0, as the coefficient gradually approaches 0, the function becomes more vertically stretched. Since the function's coefficient went from 1 to 2, that means the graph of the function is being vertically compressed by a factor of 2. A slope-intercept function's constant is the graph's y-intercept since the y-value would be that when x is equal to 0. Since the constant went from 0 to -4, that means the graph of the function has been translated down 4 units. So the correct choices would be a vertical compression by a factor of 2, and a translation of 4 units down.
