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Draw the graph of y=2x^(2)-1 and heance ...

Draw the graph of `y=2x^(2)-1` and heance the graph of f(x)`=cos^(-1)2x^(2)-1)`.

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To solve the problem, we need to draw the graph of the function \( y = 2x^2 - 1 \) and then use this to graph the function \( f(x) = \cos^{-1}(2x^2 - 1) \). ### Step 1: Graphing \( y = 2x^2 - 1 \) 1. **Identify the type of graph**: The equation \( y = 2x^2 - 1 \) represents a parabola that opens upwards because the coefficient of \( x^2 \) is positive. 2. **Find the vertex**: The vertex of the parabola can be found using the formula \( (h, k) \) where \( h = 0 \) (since there is no linear term) and \( k = -1 \). Thus, the vertex is at \( (0, -1) \). ...
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