write the function whose graph is the function of y=(x+5)^2 but is reflected about the x-axis.
y=
f(x)= -(x+5)^2
Well, if we want to reflect a function about the x-axis, we simply need to flip the sign of the y-values. So, the function would be:
y = -(x+5)^2
Now, it's like the poor parabola is looking into a fun-house mirror, but at least it has a new perspective!
To reflect a function about the x-axis, we can simply multiply the function by -1.
Therefore, the function whose graph is the reflection of y = (x + 5)^2 about the x-axis can be written as:
y = -(x + 5)^2
To reflect a function about the x-axis, you need to take the negative of the original function.
The original function is y = (x + 5)^2. To reflect it about the x-axis, we change the sign of y, resulting in y = -(x + 5)^2.
Therefore, the function whose graph is y = (x + 5)^2 but reflected about the x-axis is y = -(x + 5)^2.