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In this activity, students will stretch and translate the parabola given by y = x2 and determine the effects on the equation. Students will also explore finding the vertex and zeros of a parabola and relate them to the equation.
In this problem, students are told y = x2 is the basic equation for the standard form a parabola. Students then stretch the graph and observe how the equation changes. Students will make a connection between the curvature of the parabola and the equation. Several questions follow to determine if students have made a connection.
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