Radical Graphs/Exponent Rules

Front

What is the general form of a radical function?

Back

A radical function is typically expressed as y = √(x - h) + k, where (h, k) is the vertex of the graph.

Front

How does the equation y = √(x) + 3 transform the graph of y = √(x)?

Back

It shifts the graph of y = √(x) upward by 3 units.

Front

What effect does the equation y = √(x - 5) - 1 have on the graph of y = √(x)?

Back

It shifts the graph right by 5 units and down by 1 unit.

Front

What does the transformation 'reflect over the x-axis' mean for a function?

Back

It means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Front

What is the power rule for exponents?

Back

The power rule states that (a^m)^n = a^(m*n).

Front

Back

Front

Back

The result is 1, as long as x is not equal to 0.

Front

How does the equation y = √(x + 3) transform the graph of y = √(x)?

Back

It shifts the graph left by 3 units.

Front

What is the effect of the negative sign in front of a radical function, such as y = -√(x)?

Back

It reflects the graph of the function over the x-axis.

Front

Back