Question

Describe the transformation for the function y=1x+4+1 (1 point) Responses Left 4, Down 1 Left 4, Down 1 Right 4, Down 1 Right 4, Down 1 Left 4, Up 1 Left 4, Up 1 Right 4, Up 1

Answer 1

The function you've provided, \( y = 1x + 4 + 1 \), simplifies to \( y = x + 5 \). This is a linear function with a slope of 1 and a y-intercept of 5.

To analyze the transformations, we must first consider the parent function, which in this case is \( y = x \).

1. **Y-Intercept**: The function \( y = x + 5 \) indicates that the line has been shifted vertically upward.
2. **Vertical Shift**: The "+5" means the entire line has been moved up by 5 units.
3. **No Horizontal Shift or Reflection**: Because there are no additional terms affecting \( x \) or any reflections, the line's orientation remains the same.

Based on the standard format for writing transformations, you could summarize the overall transformation as:

- **Up 5** (from the original function \( y = x \))

However, since the provided responses do not list "Up 5," there's a misalignment in options.

If you have the option "Left 4, Down 1," that would not apply here, as the transformation involves only a vertical shift up.

For this specific equation \( y = x + 5 \), the appropriate transformation is **None of the provided options are correct**, but if we only consider a single transformation phrase, it would be a vertical shift of +5 units up.