11.0 actual test Algebra 2 radical functions and inverses test

Front

What is the equation of the graph that shifts the square root function up by 3 units?

Back

y = √(x) + 3

Front

What does an inverse function do?

Back

"Undoes" all the operations of the original function in reverse order.

Front

If f(x) and g(x) are inverses of each other, what do f(g(x)) and g(f(x)) equal to?

Back

x

Front

What does it mean to find the inverse of a function?

Back

The x's and y's are switched.

Front

Back

A stretch by a factor of 3, Shift right 2, Shift up 5.

Front

What is the general form of a radical function?

Back

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

Front

How do you find the inverse of a function algebraically?

Back

Replace f(x) with y, switch x and y, and solve for y.

Front

Back

x ≥ 3.

Front

Back

y ≥ 3.

Front

Back

It stretches (if |a| > 1) or shrinks (if |a| < 1) the graph vertically.