Question

The points plotted and labeled on the coordinate plane are as follows: left parenthesis negative 2 comma 4 right parenthesis, left parenthesis negative 1 comma negative 2 right parenthesis, left parenthesis 0 comma negative 4 right parenthesis, left parenthesis 1 comma negative 2 right parenthesis, and left parenthesis 2 comma 4 right parenthesis. A solid line passes through the points to form a parabola.

Create an equation that models the transformation of y=2x2
to the function in the graph.

(1 point)

y=2x2−4


y=2x2+4


y=2(x−4)2


y=2(x+4)2

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Answer 1

y = 2x^2 − 4

Reason: The base parabola y = 2x^2 has vertex (0,0). The graph's vertex is (0,−4), so it's shifted down 4 units: y = 2x^2 − 4.