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Multiple Choice
Graph each quadratic equation by finding and plotting ordered pair solutions.
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Identify the general form of a quadratic equation, which is given by \(y = ax^2 + bx + c\), where \(a\), \(b\), and \(c\) are constants.
Determine the vertex of the parabola using the formula for the x-coordinate of the vertex: \(x = -\frac{b}{2a}\). This helps in understanding the graph's highest or lowest point.
Calculate the y-coordinate of the vertex by substituting the x-value back into the quadratic equation: \(y = a\left(-\frac{b}{2a}\right)^2 + b\left(-\frac{b}{2a}\right) + c\).
Find the axis of symmetry, which is the vertical line that passes through the vertex, given by the equation \(x = -\frac{b}{2a}\).
Determine additional points on the graph by choosing x-values around the vertex and calculating their corresponding y-values, then plot these points to sketch the parabola.