Question

Match the transformation of the polynomial function f(x) = 2x3 − x2 − 5x + 3 with the resulting function.

translation 2 units up
vertical stretch by 2
horizontal stretch by 2
reflection across x-axis
reflection across y-axis
translation 2 units down

Answer 1

Parent Function: g(x)=x3

Horizontal Shift: Right 0.167 Units

Vertical Shift: Up 2.149Units

Reflection about the x-axis: None

Reflection about the y-axis: Reflected

Vertical Compression or Stretch: Stretched

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.