1. Consider the function 𝑓(𝑥) = −√𝑥 + 2 + 3.
Sketch the parent function here and then fully explain ALL of the transformations required to produce this function from the parent function.
Graph the function (2 points) 𝑓(𝑥) = −√𝑥 + 2 + 3 ( the square root sign goes over x+2 but NOT 3)
State the domain and range of the function above
+23252 The parent function is: y = sqrt(x)
To get y = sqrt(x + 2) translate the function two units to the left (horizontally).
To get y = -srt(x + 2) flip the function over the x-axis.
To get y = -sqrt(x + 2) + 3 translate the function 3 units up (vertically).
Domain: x >= -2
Range: y <= 3
