Given the parent function $f(x) = \frac{1}{x}$, if the graph is reflected across the y-axis, vertically stretched by a factor of $2$, and shifted $4$ units down, what is the equation of the transformed function $g(x)$?
Question 2
The graph of $f(x) = \sqrt{x}$ is transformed to $g(x) = -\sqrt{2x+6} + 1$. Which of the following describes the sequence of transformations?
Question 3
If the function $f(x) = \frac{1}{x}$ is transformed to $g(x) = \frac{3}{x-2} + 5$, what is the combined effect of the transformations?
Question 4
Consider the function $f(x) = \sqrt{x}$. If the graph of $f(x)$ is transformed to $g(x) = -\frac{1}{2}\sqrt{x+4} - 3$, what transformations have occurred?
Question 5
The graph of $f(x) = \frac{1}{x}$ is transformed by a horizontal stretch by a factor of $2$, a reflection across the y-axis, and a vertical shift up by $1$ unit. What is the equation of the transformed function $g(x)$?
Transformations Quiz — High School Algebra 2 | A-Warded
