Long description: temp1a

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A graph of the parabola \(y = x^2\) shows two marked points, \(A(1, 1)\) and \(B(4, 16)\), illustrating varying slopes.

Alt text: A graph of the parabola \(y = x^2\) with two points marked, \(A(1, 1)\) and \(B(4, 16)\), illustrating the concept of slope.

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  • The image displays a graph of the function \(y = x^2\), which is a parabola opening upwards.
  • The horizontal axis represents the variable \(x\), and the vertical axis represents the variable \(y\).
  • Two points are explicitly marked on the graph: point \(A\) is located at the coordinates \((1, 1)\), and point \(B\) is located at the coordinates \((4, 16)\).
  • On the left side of the graph, where \(x\) values are less than 1, text indicates that "the slope is negative here," corresponding to the decreasing part of the parabola.
  • On the right side of the graph, where \(x\) values are greater than 1, text indicates that "the slope is positive here," corresponding to the increasing part of the parabola.

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