### Transcription and Explanation: The document contains mathematical expressions and their corresponding graphs. #### Mathematical Expressions: 1. \( y = \sqrt[3]{x} - 4 \) 2. \( y = 2\sqrt[3]{x} + 1 \) #### Graph Descriptions: 1. **Graph of \( y = \sqrt[3]{x} - 4 \):** - The graph is drawn on the Cartesian plane. - It appears to be a cubic root function with a vertical shift downwards by 4 units. - The curve passes through the origin at \((0, -4)\). - The graph extends from left to right, passing through various \(x\)-values symmetrically above and below the horizontal reference line (y=-4). 2. **Graph of \( y = 2\sqrt[3]{x} + 1 \):** - This graph is also on the Cartesian plane. - This function is a cubic root function with a vertical scaling of 2 and is shifted upwards by 1 unit. - The curve passes through the point \((0, 1)\). - As with the first graph, it also extends horizontally, illustrating the nature of the cubic root function, but is steeper due to the vertical scaling factor of 2. Both graphs are aligned with typical cubic root functions but are modified by vertical shifts and scaling factors that affect their steepness and vertical positions on the graph.