Given the function $f(x) = x^2$, if the graph is transformed to $g(x) = -3(x + 2)^2 - 1$, what is the correct sequence of transformations?
Question 2
If the graph of $y = f(x)$ undergoes a horizontal compression by a factor of $k$ (where $k > 1$) and then a vertical shift up by $c$ units, what is the equation of the new graph?
Question 3
The graph of $y = \sqrt{x}$ is transformed to $y = -\sqrt{2x - 4} + 5$. Which of the following describes the transformations?
Question 4
If $f(x) = |x|$, and the function is transformed to $g(x) = -\frac{1}{2}|x + 3| - 4$, what is the range of $g(x)$?
Question 5
Consider the function $f(x) = x^3$. If this function is transformed to $g(x) = (\frac{1}{3}x - 1)^3 + 2$, what is the horizontal stretch factor and the horizontal shift?
Function Transformations Quiz — SAT Math | A-Warded
