The vertex of the of the quadratic function f (x) = x^2 is at (0,0), which is a the minimum for the graph of f ... to where you predict the vertex will be translate for the graphs of g (x) = (x-2) ^2 and h (x) = (x+3)

Question

Mathematics

Nathalia Glass

4 April, 16:25

The vertex of the of the quadratic function f (x) = x^2 is at (0,0), which is a the minimum for the graph of f ... to where you predict the vertex will be translate for the graphs of g (x) = (x-2) ^2 and h (x) = (x+3)

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Levi Ho · Answer 1

When there is a number added to or subtracted from x before it is squared, it shifts the graph to the left or right. For g (x) = (x-2) ², the graph would be shifted to the right two units; therefore the vertex would be at (2, 0). For h (x) = (x+3) ², the graph would be shifted to the left three units; therefore the vertex would be at (-3, 0).