Scelta multipla
Graph the following quadratics and state its vertex and intercepts.
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12. Quadratic Equations and Functions
Graphing Quadratic Equations
Scelta multipla
Determine if the parabola opens up or down.
A
Up
B
Down
C
To the left
D
To the right
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Understand that a quadratic equation is generally written in the form $y = ax^2 + bx + c$, where \(a\), \(b\), and \(c\) are constants, and \(a \neq 0\).
Identify the coefficients \(a\), \(b\), and \(c\) from the given quadratic equation to understand the shape and position of the parabola.
Find the vertex of the parabola using the formula for the x-coordinate: \(x = -\frac{b}{2a}\). Then substitute this value back into the equation to find the y-coordinate of the vertex.
Determine the axis of symmetry, which is the vertical line passing through the vertex, given by \(x = -\frac{b}{2a}\).
Plot the vertex and additional points by choosing x-values around the vertex, calculate their corresponding y-values, and then sketch the parabola opening upwards if \(a > 0\) or downwards if \(a < 0\).
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