- #1
Azurin
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The equation of the axis of symmetry of the graph of a quadratic function is x=-1. The graph passes through the points (0,3) and (-3, 9). Determine the equation of the function.
Actually, there are two solutions... one with a = A and one with a = -A. This corresponds to one parabola opening upward and another opening downward.Azurin said:The equation of the axis of symmetry of the graph of a quadratic function is x=-1. The graph passes through the points (0,3) and (-3, 9). Determine the equation of the function.
A function is a mathematical relationship between two sets of values, where each input has only one corresponding output. It can be represented as an equation, table, or graph.
To determine the equation of a function, you need to know the input and output values. You can use these values to create ordered pairs and then use these pairs to find the slope and y-intercept, which can be used to write the equation in slope-intercept form (y = mx + b).
A linear function has a constant rate of change and can be represented by a straight line on a graph. A nonlinear function does not have a constant rate of change and cannot be represented by a straight line on a graph.
To graph a function, you can create a table of values by choosing different input values and plugging them into the equation. Then, plot these ordered pairs on a coordinate plane and connect them with a line to create the graph.
Finding the equation of a function allows us to better understand and analyze the relationship between two sets of values. It also allows us to make predictions and solve problems related to the function.