HW10 - WRAP UP UNIT 4

Front

What is the transformation of the function g(x) = f(x) - 6 compared to the linear parent function f(x) = x?

Back

g(x) is shifted down 6 units.

Front

How does the graph of g relate to the graph of f if g is a vertical translation 2 units up?

Back

The graph of g is a vertical translation 2 units up of the graph of f.

Front

If a scatter plot shows the relationship between chapters and pages, how can you predict the number of chapters for a book with 180 pages?

Back

Use the trend line to estimate the number of chapters, which is 18 chapters.

Front

What is the equation of a line that is perpendicular to the line y = -\frac{6}{7}x + 7?

Back

The equation is y = \frac{7}{6}x - 8.

Front

What transformation occurs when f(x) = x is replaced with f(x) + 2?

Back

Vertical translation up by 2 units.

Front

Define a vertical translation in the context of function transformations.

Back

A vertical translation moves the graph of a function up or down without changing its shape.

Front

What is the effect of adding a constant to a function f(x)?

Back

Adding a constant shifts the graph vertically; adding a positive constant shifts it up, while adding a negative constant shifts it down.

Front

Explain the concept of a trend line in a scatter plot.

Back

A trend line is a straight line that best represents the data points in a scatter plot, used for making predictions.

Front

What does it mean for two lines to be perpendicular in terms of their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How do you determine the slope of a line from its equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b, where m is the slope.