If the graph of $y = f(x)$ is transformed to $y = -f(x+1) + 3$, what is the correct sequence of transformations?
Question 2
Given the function $y = x^2$, what is the equation after a vertical stretch by a factor of 2, a horizontal compression by a factor of $ \frac{1}{2} $, and a shift of 4 units down?
Question 3
If the graph of $y = \sqrt{x}$ is transformed to $y = -\frac{1}{2}\sqrt{x-3} + 1$, which statement accurately describes the transformations?
Question 4
The graph of $y = |x|$ is transformed by a horizontal stretch by a factor of 3, a reflection over the y-axis, and a vertical shift of 2 units down. What is the new equation?
Question 5
Which transformation sequence would change $y = x^3$ to $y = -\frac{1}{4}(x+2)^3 + 5$?
