graphs of square root functions and transformation

Front

What is the domain of the function g(x) = √(x + 5) - 3?

Back

x ≥ -5

Front

Match the equation with the graph: y = - √(x + 1), y = √(x + 1), y = - √(x) - 1, y = - √(x) + 1

Back

y = - √(x + 1)

Front

Which graph represents the square root parent function?

Back

Graph B

Front

What is the transformation of the function g(x) = √(x + 5) - 3 compared to the parent function?

Back

Translated left 5 units and down 3 units

Front

Identify the range of the function g(x) = √(x + 5) - 3.

Back

y ≥ -3

Front

What is the parent function of square root functions?

Back

f(x) = √x

Front

How does the graph of y = -√x differ from the graph of y = √x?

Back

It is reflected over the x-axis.

Front

What effect does adding a constant outside the square root have on the graph?

Back

It translates the graph vertically.

Front

What is the effect of the transformation y = √(x - 2)?

Back

It translates the graph right 2 units.

Front

What is the effect of the transformation y = -√(x) + 1?

Back

It reflects the graph over the x-axis and translates it up 1 unit.