Question 1 of 5: Describe the transformation from f(x) to g(x).
Select the Correct Answer: Correct! 
Not Correct! 
Not Correct! A
Vertically stretched by a factor of 7, shifted 4 units right, and shifted 3 units up
B
Vertically compressed by a factor of 7, shifted 4 units left, and shifted 3 units down
C
Vertically stretched by a factor of 3, shifted 5/4 units right, and shifted 4/5 units up
D
Vertically compressed by a factor of 3, shifted 5/4 units left, and shifted 4/5 units down
E
Vertically stretched by a factor of 5/3, horizontally stretched by a factor of 4/3, shifted 4/5 units right, and shifted 3/4 units up
Question 2 of 5: Describe the transformation from f(x) to g(x).
Select the Correct Answer: Correct! Not Correct!
Not Correct! A
Vertically stretched by a factor of 2, reflected across the x-axis, horizontally stretched by a factor of 3, shifted 15 units right, and shifted 8 units up
B
Vertically compressed by a factor of 2, reflected across the x-axis, horizontally compressed by a factor of 3, shifted 15 units left, and shifted 8 units down
C
Vertically stretched by a factor of 2, reflected across the x-axis, horizontally compressed by a factor of 3, shifted 15 units left, and shifted 8 units up
D
Vertically stretched by a factor of 8, reflected across the x-axis, horizontally stretched by a factor of 5, shifted 1/3 units right, and shifted 2 units up
E
Vertically compressed by a factor of 8, reflected across the x-axis, horizontally compressed by a factor of 5, shifted 1/3 units left, and shifted 2 units down
Question 3 of 5: Find the Asymptotes and Intercepts.
Select the Correct Answer: Correct! Not Correct!
Not Correct! A
Vertical Asymptotes: $$x = \frac{1}{6}, \frac{3}{2}, 5$$ Horizontal Asymptote: $$y = 0$$ x-intercept: $$\left(\frac{1}{5}, 0\right)$$ y-intercept: $$\left(0, -\frac{1}{5}\right)$$
B
Vertical Asymptote: $$x = 0$$ Horizontal Asymptotes: $$y = \frac{1}{6}, \frac{3}{2}, 5$$ x-intercept: $$\left(\frac{1}{5}, 0\right)$$ y-intercept: $$\left(0, -\frac{1}{5}\right)$$
C
Vertical Asymptotes: $$x = \frac{1}{6}, 5$$ Horizontal Asymptote: $$y = 0$$ x-intercept: $$\left(\frac{1}{5}, 0\right)$$ y-intercept: $$\left(0, -\frac{1}{5}\right)$$
D
Vertical Asymptotes: $$x = \frac{1}{6}, \frac{3}{2}, 5$$ Slant Asymptote: $$y = \frac{1}{5}x + 3$$ x-intercept: $$\left(\frac{1}{5}, 0\right)$$ y-intercept: $$\left(0, -\frac{1}{5}\right)$$
E
Vertical Asymptotes: $$x = \frac{1}{6}, 5$$ Slant Asymptote: $$y = -\frac{1}{5}x - 3$$ x-intercept: $$\left(\frac{1}{5}, 0\right)$$ y-intercept: $$\left(0, -\frac{1}{5}\right)$$
Question 4 of 5: Match the given graph to its equation.
![Graphing f(x) = [(x - 1)] / [(x - 4)(x - 2)(x - 3)]](../../img.2018/College_Algebra/151/Graphing-Rational-Expressions-Quiz-4.svg)
Select the Correct Answer: Correct! Not Correct!
Not Correct! A
$$f(x) = \frac{1}{(x - 4)(x - 2)(x - 3)}$$
B
$$f(x) = \frac{x}{(x + 4)(x + 2)(x + 3)}$$
C
$$f(x) = \frac{(x - 4)(x - 2)(x - 3)}{x - 1}$$
D
$$f(x) = \frac{x - 2}{(x - 4)(x - 2)(x - 3)}$$
E
$$f(x) = \frac{x - 1}{(x - 4)(x - 2)(x - 3)}$$
Question 5 of 5: Match the given graph to its equation.
![Graphing f(x) = [2x^2 - 11x + 14] / [x - 3]](../../img.2018/College_Algebra/151/Graphing-Rational-Expressions-Quiz-5.svg)
Select the Correct Answer: Correct! Not Correct!
Not Correct! A
$$f(x) = \frac{x - 3}{2x^2 - 11x + 14}$$
B
$$f(x) = \frac{2x^2 - 11x + 14}{x - 3}$$
C
$$f(x) = \frac{x^2 + \frac{3}{2}x - 7}{x - 3}$$
D
$$f(x) = \frac{x - 5}{(7x - 2)(x - 2)}$$
E
$$f(x) = \frac{x - 2}{2x^2 - 7}$$
