Attributes of Square Root Functions

Front

What is the X-INTERCEPT of the square root function f(x) = √(x - 9)?

Back

(9,0)

Front

What is the DOMAIN of the square root function f(x) = √(x)?

Back

Front

What is the parent function of square root functions?

Back

f(x) = √x

Front

What is the DOMAIN of the function f(x) = √(x + 3)?

Back

Front

What is the RANGE of the square root function f(x) = √(x)?

Back

Front

What is the general form of a square root function?

Back

f(x) = a√(x - h) + k, where (h,k) is the vertex.

Front

How does the value of 'a' affect the graph of a square root function?

Back

'a' determines the vertical stretch or compression and reflection.

Front

What is the effect of adding a constant 'k' to the square root function f(x) = √(x)?

Back

'k' shifts the graph vertically by 'k' units.

Front

What is the effect of subtracting a constant 'h' from the input of the square root function f(x) = √(x)?

Back

'h' shifts the graph horizontally to the right by 'h' units.

Front

What is the RANGE of the function f(x) = √(x) - 3?

Back