graph-the-function-gx2x28x6gx-2x2-8x-6-using-shifts-and-scalings

Question

Graph the function $g(x) = -2x^2 + 8x - 6$ using shifts and scaling methods.

Accepted Answer

Stretch the graph vertically by a factor of 2, reflect the graph about the x-axis, shift the graph to right by 2 units and up by 2 units.

Graph of g(x) = -2x^2 + 8x - 6 illustrating transformations.

Answer

Stretch the graph vertically by a factor of 2, reflect the graph about the y-axis, shift the graph to right by 5 units and up by 2 units.

Graph of g(x) = -2x^2 + 8x - 6 depicting various transformations.

Answer

Stretch the graph vertically by a factor of 2, reflect the graph about the y-axis, shift the graph to right by 5 units and down by 2 units.

Graph of g(x) = -2x^2 + 8x - 6 illustrating transformations.

Answer

Stretch the graph vertically by a factor of 2, reflect the graph about the y-axis, shift the graph to left by 5 units and up by 2 units.

Graph of g(x) = -2x^2 + 8x - 6 depicting various transformations.

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