Math  /  Algebra

QuestionTranslate each graph as specified below. (a) The graph of y=x2y=x^{2} is shown. Translate it to get the graph of y=(x+5)2y=(x+5)^{2}. (b) The graph of y=x2y=x^{2} is shown. Translate it to get the graph of y=x24y=x^{2}-4.
Part (b)

Studdy Solution
Describe the resulting graph: The vertex of the parabola, originally at the origin (0,0)(0, 0), moves to (0,4)(0, -4). The shape of the parabola remains unchanged, but it is shifted downward.
The graph of y=x24 y = x^2 - 4 is a vertical translation of the graph of y=x2 y = x^2 downward by 4 units.

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