## Parabolic Function Graph Explanation### Graph DescriptionThis graph represents a parabolic function, which is a type of quadratic function. The graph is plotted on a Cartesian coordinate system with the x-axis (horizontal) and y-axis (vertical). ### Key Points on the GraphThe graph includes several key points marked and labeled:- The vertex of the parabola is at the origin, denoted as (0,0).- The graph passes through points (−1,1) and (1,1), which provide symmetry about the y-axis.- Additional points on the parabola include (−2,4) and (2,4), indicating the function's value at these x-coordinates.### Parabola Properties- **Symmetry:** This parabola is symmetric about the y-axis. This can be seen as for every point (x, y) on one side of the y-axis, there is a corresponding point (−x, y) on the opposite side.- **Vertex:** The vertex at (0,0) is the lowest point on the graph, indicating that the parabola opens upwards.- **Direction:** The parabolic arms open upwards, which suggests that the quadratic term \( ax^2 \) has a positive coefficient.### Interactive FeatureAt the bottom of the graph image, there is an interactive feature indicating a target submission:- "0/5 targets" which likely signifies an interactive exercise where users need to identify or interact with certain points on the parabola.- A "Submit" button is present, which can be used to finalize user input regarding the targets.In summary, this graph is a visual representation of a quadratic function, specifically a simple parabola with its vertex at the origin and various symmetric points across the y-axis. The interactive aspect at the bottom invites learners to engage with the graph further. **The graph of \( f(x) = x^2 \) is shown below with five specific points labeled. Plot the location of each of these five points after the graph is reflected vertically.**In this task, you are presented with a quadratic function \( f(x) = x^2 \). The graph of this function is a parabola that opens upwards. The current graph has five points that are labeled for reference.After reflecting this graph vertically, each y-coordinate of the labeled points will be transformed. If a point on the original graph is at coordinates (x, y), reflecting it vertically will result in a new point at (x, -y).**Steps to complete the task:**1. Identify the coordinates of the five labeled points on the original graph.2. Reflect each point vertically by changing the sign of the y-coordinate.3. Plot the new set of points on the graph accordingly.**Example:**If one of the labeled points on the original graph is (2, 4):- The y-coordinate is 4.- After vertical reflection, the new y-coordinate will be -4.- So, the new point will be (2, -4).Apply this process to all five labeled points to complete the reflection.

Name: ## Parabolic Function Graph Explanation### Graph DescriptionThis grap
Uploaded: 2024-03-20T06:46:14.000Z
Channel: Bartleby
Description: ## Parabolic Function Graph Explanation### Graph DescriptionThis graph represents a parabolic function, which is a type of quadratic function. The graph is plotted on a Cartesian coordinate system with the x-axis (horizontal) and y-axis (vertical).