To match the equations and graphs using Desmos graphing calculator, we need to understand the equations and their corresponding graphs.
Let's analyze each equation and its graph:
1. Equation: f(z) = -2²
This equation represents a quadratic function. The negative sign in front of the "2²" indicates that the graph will be reflected downward. The "2" inside the parentheses represents the coefficient of the squared term, affecting the steepness of the graph.
2. Equation: 7(x) - 52 - 7
This equation represents a linear function. The "7" in front of the "(x)" represents the slope of the line, indicating how steep or slanted the graph will be. The constant term "-52 - 7" shifts the graph vertically up or down.
3. Equation: -1
This equation represents a horizontal line. The "-1" is a constant term, meaning the line is a horizontal line passing through the y-coordinate of -1.
To visually match the equations with their graphs on Desmos, you can input each equation separately and observe how the graph is formed. By adjusting the values or coefficients, you can explore different graph shapes and positions.
Please note that without specific values or context, it is not possible to provide exact matches between the equations and graphs. The above explanation gives a general understanding of how to interpret and analyze equations and their corresponding graphs.