To find the equation of the graph, I had to create 3 different equations because desmos will not allow you to create the graph doing so.
The equations were:
-1.5x+2 x<_ 0
The square root of (4-x^2) 2<_x>_0
x^2-4x+4 x>_0
In other words: negative 1.5x plus 2, x is less than or equal to zero
the square root of 4-x squared, x is less than or equal to 2, x is greater than or equal to 0
x squared minus 4x pluss 4, x is greater than or equal to 0
The domain and range changed for each equation.
For the equation below, the domain was all real numbers. The range was also all real numbers
-1.5x+2 x<_0
For the second equation below, the domain was [-2,2] and the range was [0,2]
Square root of (4-x^2) 2<_x>_0
For the third equation below, the domain was all real numbers and the range was y<_0
x^2-4x+4
The equations were:
-1.5x+2 x<_ 0
The square root of (4-x^2) 2<_x>_0
x^2-4x+4 x>_0
In other words: negative 1.5x plus 2, x is less than or equal to zero
the square root of 4-x squared, x is less than or equal to 2, x is greater than or equal to 0
x squared minus 4x pluss 4, x is greater than or equal to 0
The domain and range changed for each equation.
For the equation below, the domain was all real numbers. The range was also all real numbers
-1.5x+2 x<_0
For the second equation below, the domain was [-2,2] and the range was [0,2]
Square root of (4-x^2) 2<_x>_0
For the third equation below, the domain was all real numbers and the range was y<_0
x^2-4x+4