Question

How can I obtain the graph of f(x) = -1/2(x + 2)^2 - 5 from the graph of g(x) = x^2? please show work

Answer 1

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Explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Horizontal Shift: Right 2 Units

Vertical Shift: Up 5 Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

TO VIEW GRAPH TRY M-A-T-H-W-A-Y