Question

Use the image to answer the question.

A parabola is plotted in a coordinate plane. The x-axis ranges from negative 4 to 4 and the y-axis ranges from negative 6 to 6 in one-unit increments.
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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=2x^2
to the function in the graph.

(1 point)

y=2x^2+4


y=2(x−4)^2


y=2x^2−4


y=2(x+4)^2

Answer 1

y = 2x^2 − 4

Explanation: The given parabola has the same shape and width as y = 2x^2 but is shifted down 4 units (vertex at (0, −4)), so subtract 4: y = 2x^2 − 4.