## Tempestt Graphs a Function That Has a Maximum Located at (–4, 2). Which Could Be Her Graph?

**Tempestt’s graph could be a parabola opening downward with its vertex at (-4, 2), a quadratic equation with a negative leading coefficient. When graphing a function with a maximum located at (-4, 2), options could include a downward facing parabola or other functions with a maximum at that point, such as a cubic or quartic function.**

The possibilities are vast, requiring specific information to precisely determine the exact graph. Graphing a function that has a maximum at (-4, 2) allows for a multitude of potential graphs, each with their unique characteristics. Understanding the nature of the function and its properties will lead to an accurate depiction of the graph.

By carefully considering the behavior of the function, one can determine the most suitable graph to represent it.

## Understanding Function Graphing

Function graphing is essential in understanding the behavior of a particular function. It helps to visualize how the function behaves and to identify key features such as maxima, minima, and points of inflection. In this case, Tempestt is graphing a function that has a maximum located at (-4, 2). She is trying to determine which graph matches this description. Understanding function graphs is important because it allows us to analyze and interpret the behavior and trends of functions in various scenarios. It enables us to make predictions based on graphical representations and enhances our ability to solve mathematical problems. By studying function graphs, we gain insights into the relationships between variables and can make informed decisions in fields such as economics, engineering, and physics.

## Maximum Points On A Graph

When graphing a function that has a maximum, it is important to identify the coordinates of this point. The maximum point is a critical point on the graph that represents the highest value the function attains. In this case, the maximum is located at (-4, 2). The x-coordinate, -4, indicates where the maximum occurs horizontally, while the y-coordinate, 2, shows the corresponding vertical value. By knowing the coordinates, it becomes easier to visualize and plot the correct graph that represents the given function. Tempestt, in order to graph the function accurately, should consider the coordinates of the maximum point as mentioned.

## Graph Possibilities For Tempestt

Exploring the possible shape of the graph, the maximum at (–4, 2) indicates that it could be a parabola with its vertex at (–4, 2). Another potential option is a curve reaching a peak at (–4, 2), resembling a quadratic function. Considering these graph options, Tempestt will need to analyze the behavior of the function further to determine the most suitable representation of the given data.

## Conclusion

Based on the given information, Tempestt has graphed a function with a maximum point at (-4, 2). From the options provided, she could have graphed a quadratic function in standard form y = a(x – h)^2 + k, where (h, k) represents the vertex of the parabola.

It is important to consider the vertex form when determining the graph of a quadratic function. By analyzing the given coordinates, Tempestt can make an informed decision about the correct graph.