Tempestt is a student who is curious about graphing functions. She has recently graphed a function that has a maximum located at (-4, 2). In this article, we will investigate Tempestt’s graph and examine the maximum of the function.
Investigating Tempestt’s Graph
Tempestt’s graph is a parabola that opens downward and has a maximum located at (-4, 2). The graph is defined by the equation y = -x2 + 8x – 14. To the left of (-4, 2), the graph decreases from 2 to the minimum of -14. To the right of (-4, 2), the graph increases from 2 to the maximum of 14.
Examining the Maximum of the Function
The maximum of Tempestt’s function is located at (-4, 2). The maximum is the highest point on the graph and is the turning point of the parabola. To find the maximum of the function, Tempestt can use the formula x = -b/2a, which in this case is (-8)/(-2) = 4. This confirms that the maximum of the function is located at (-4, 2).
Tempestt has successfully graphed a function with a maximum located at (-4, 2). By investigating the graph and examining the maximum of the function, Tempestt has gained a better understanding of how to graph functions.