If the parent function is transformed by:
- Shifting 1 unit to the right, the image function is given by g(x) = (x - 1)²
- Shifting 1 unit to the left, the image function is given by g(x) = (x + 1)².
- Shifting 1 unit downward, the image function is given by g(x) = x² - 1.
Transformation of the parent function.
The graph of the parent function is a parabolic curve which opens in the y-axis direction and with its vertex at the origin on a cartesian coordinate.
By critically observing the graph of this parent function [f(x) = x²], we can infer and logically deduce that the transformed curve is a downward opening parabola which has a vertex at (-5, -2).
Thus, if the parent function is transformed by:
- Shifting 1 unit to the right, the image function is given by g(x) = (x - 1)²
- Shifting 1 unit to the left, the image function is given by g(x) = (x + 1)².
- Shifting 1 unit downward, the image function is given by g(x) = x² - 1.
Read more on transformation here: https://brainly.com/question/17586310
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