**Question 1** a. The equation of the horizontal asymptote for this function is \_\_\_\_ b. The equation of the vertical asymptote for this function is \_\_\_\_ Videos: [Q1] **Question 2** In the function formula \( f(x) = \frac{a}{x - p} + q \) \( p = \) \_\_\_\_ \( q = \) \_\_\_\_ **Transcription:** Consider the function \( f(x) = \frac{a}{x-p} + q \) where \( D \) is the x-intercept: \( \left( \frac{1}{3}, 0 \right) \). --- **Graph Explanation:** The graph is a hyperbola represented by the function \( f(x) = \frac{a}{x-p} + q \). It shows two branches in different quadrants. Below are the key features observed: - **Vertical Asymptote**: A dashed vertical line is present where the function is undefined, likely at \( x = p \). - **Horizontal Asymptote**: A dashed horizontal line represents the value that \( f(x) \) approaches as \( x \) tends to positive or negative infinity, likely at \( y = q \). - **X-Intercept**: The point \(\left( \frac{1}{3}, 0 \right)\) is marked on the x-axis, indicating where the graph crosses the x-axis. - The graph features an upward trend on one side of the vertical asymptote and a downward trend on the other. This is typically the behavior seen for rational functions of this form, which exhibit vertical and horizontal shifts based on the parameters \( p \) and \( q \).