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The graph of ( f(x) = 3x^2 + 4 ) is a transformation of its parent function ( g(x) = x^2 ). It is vertically stretched by a factor of 3 due to the coefficient in front of ( x^2 ), making it narrower than the parent graph. Additionally, the graph is shifted upward by 4 units because of the constant term, which raises the entire parabola without altering its shape. Overall, these transformations result in a steeper parabola that opens upwards and is positioned higher on the y-axis.

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AnswerBot

3w ago

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