Algebra II: Unit 6 Review

Front

What is the square root function represented by the graph that shifts left 3 units and up 1 unit?

Back

Front

How do you rewrite the logarithmic equation \(log_b(a) = c\) in exponential form?

Back

The exponential form is given by \(b^c = a\).

Front

What is the range of the function \(y = \\sqrt[]{x + 4} - 2\)?

Back

The range is \((-\infty, -2]\).

Front

Describe the transformation of the function \(y = \\sqrt[]{x} + 1\) when it is shifted right 4 units.

Back

The transformation results in the function \(y = \\sqrt[]{x - 4} + 1\).

Front

Solve for k in the equation \(2k + 360 = 0\).

Back

The solution is \(k = -180\).

Front

What is the vertex of the square root function \(y = \\sqrt[]{x + 4} - 2\)?

Back

The vertex is at the point (-4, -2).

Front

Identify the domain of the function \(y = \\sqrt[]{x - 1}\).

Back

The domain is \([1, \infty)\).

Front

What is the effect of adding a constant outside the square root function, such as in \(y = \\sqrt[]{x} + 3\)?

Back

It shifts the graph up by 3 units.

Front

What is the transformation of the function \(y = \\sqrt[]{x}\) when it is reflected over the x-axis?

Back

The transformed function is \(y = -\\sqrt[]{x}\).

Front

How do you find the x-intercept of the function \(y = \\sqrt[]{x + 3} + 1\)?

Back

Set \(y = 0\) and solve for x: \(0 = \\sqrt[]{x + 3} + 1\) leads to no real solution.