Algebra II EOC Review Part 2

Front

What is the parent function of the square root function?

Back

The parent function is y = √(x).

Front

What does it mean for a function to be reflected over the x-axis?

Back

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

Front

What is a vertical stretch in the context of functions?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

What is the end behavior of a function?

Back

End behavior describes how the values of a function behave as the input approaches positive or negative infinity.

Front

What does it mean if a function has no solutions (roots)?

Back

It means that the graph of the function does not intersect the x-axis.

Front

How do you determine the end behavior of a polynomial function?

Back

You analyze the leading term of the polynomial to see how it behaves as x approaches ±∞.

Front

What is the significance of the x-intercept in a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating a solution to the equation.

Front

What does it mean for a function to shift right by 5 units?

Back

It means that every point (x, y) on the graph moves to (x + 5, y).

Front

What is the difference between a vertical stretch and a vertical compression?

Back

A vertical stretch makes the graph taller (factor > 1), while a vertical compression makes it shorter (factor between 0 and 1).

Front

What is the meaning of the notation x → -∞?

Back

It indicates that x is approaching negative infinity.