To demonstrate the transformation of shifting a triangle (or any shape) 2 units to the right on the coordinate grid, Suwanda can use a function that modifies the x-coordinate of the points in the triangle.
If the original function is \( f(x) \), shifting to the right by 2 units means replacing \( x \) with \( x - 2 \). Therefore, the function representing this transformation would be:
\[ g(x) = f(x - 2) \]
However, if you are looking for a specific form of a new function that describes how the output changes, you would typically add 2 to the x-value, not to the output. So if \( f(x) \) was originally represented as a simple function, here are the options analyzed:
- \( f(x) = 2 - x \) (Not relevant for shifting right)
- \( f(x) = x + 2 \) (Not correct for shifting right; this shifts up)
- \( g(y) = y + 2 \) (Not relevant for shifting right; this shifts up)
- \( f(x) = x - 2 \) (Not correct; this shifts left)
None of the provided functions correctly represent a 2-unit shift to the right as they're not in the form of \( f(x-2) \).
The transformation that should be indicated (if we're only choosing from the given options) would be to take an existing function \( f(x) \) and write \( f(x-2) \) for the shift right by 2 units.
Since your question did not provide such an option, the available functions are not appropriate for the transformation required. An appropriate answer reflecting a shift to the right is typically \( g(x) = f(x-2) \).
1 answer