Question
The graph of g(x)
is a transformation of the graph of f(x)=3x
.
Enter the equation for g(x)
in the box.
is a transformation of the graph of f(x)=3x
.
Enter the equation for g(x)
in the box.
Answers
GPT-4o mini
To provide an equation for \( g(x) \) as a transformation of the graph of \( f(x) = 3x \), we would need specific information about the transformations applied (such as vertical shifts, horizontal shifts, reflections, or stretches/compressions).
Common transformations include:
1. **Vertical Shift**: \( g(x) = 3x + k \) (where \( k \) is a constant)
2. **Horizontal Shift**: \( g(x) = 3(x - h) \) (where \( h \) is a constant)
3. **Reflection**: \( g(x) = -3x \) (reflection across the x-axis)
4. **Stretch/Compression**: \( g(x) = a(3x) \) (where \( a \) is a scaling factor)
5. **Combination of transformations**: For example, \( g(x) = a(3(x - h)) + k \).
If you provide the specific transformation(s) you want to apply to \( f(x) \), I can give you the exact form of \( g(x) \).
Common transformations include:
1. **Vertical Shift**: \( g(x) = 3x + k \) (where \( k \) is a constant)
2. **Horizontal Shift**: \( g(x) = 3(x - h) \) (where \( h \) is a constant)
3. **Reflection**: \( g(x) = -3x \) (reflection across the x-axis)
4. **Stretch/Compression**: \( g(x) = a(3x) \) (where \( a \) is a scaling factor)
5. **Combination of transformations**: For example, \( g(x) = a(3(x - h)) + k \).
If you provide the specific transformation(s) you want to apply to \( f(x) \), I can give you the exact form of \( g(x) \).