What would be the transformations in this function
y= -x+14?
Would it reflect over the y or x -axis? It is also vert. up 14.
think about it. If x is replaced by -x then things flip horizontally. That is, across the y-axis.
and yes, up 14
To determine the transformations in the function y = -x + 14, we can look at the coefficients and constants in the equation.
1. Reflection over the y-axis:
When a function has a negative coefficient in front of the x term (in this case, -x), it indicates a reflection over the y-axis. So, the function y = -x + 14 does indeed reflect over the y-axis.
2. Reflection over the x-axis:
There is no coefficient or operator affecting the y term (just y itself), so it does not reflect over the x-axis.
3. Vertical shift:
The constant term in the function equation (+14) determines the vertical shift. In this case, the function is shifted up by 14 units since the constant is positive. So, the transformation is a vertical shift upwards by 14 units.
To summarize, the transformations in the function y = -x + 14 are a reflection over the y-axis and a vertical shift upwards by 14 units.