Linear Function Graphs and Transformations

Describe how the graph g(x) compares with f(x).

f(x) = 20x + 5

g(x) = 20(x - 3) + 5

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

What is the linear parent function?

• y = x

• y = mx + b

• Ax + By = C

A student graphed f(x)=x and g(x)=f(x)+8 on the same coordinate grid.
Which statement describes how the graphs of f and g are related?

• The graph of f is steeper than the graph of g.

• The graph of f is less steep than the graph of g.

• The graph of f is shifted 8 units up to create the graph of g.

• The graph of f is shifted 8 units down to create the graph of g.

• The graph of f is shifted 6 units down to create the graph of g.

• The graph of f is less steep than the graph of g.

• The graph of f is shifted 6 units up to create the graph of g.

• The graph of f is steeper than the graph of g.

• The graph of g is reflected and is translated up.

• The graph of g is steeper than the graph of f and is reflected.

• The graph of g is less steep than the graph of f.

• The graph of g is reflected and is translated down.

If f\left(x\right)=x and a new line, g\left(x\right) is created by changing the slope to \frac{1}{5} and the y-intercept to 3, which statement about the relationship between these two graphs is true?

• The graph of g is steeper than the graph of f, and the y-intercept is translated up.

• The graph of g is less steep than the graph of f, and the y-intercept is translated down.

• The graph of g is less steep than the graph of f, and the y-intercept is translated up.

• The graph of g is steeper than the graph of f, and the y-intercept is translated down.

• The graph of g is steeper than the graph of f, and the y-intercept is translated down.

• The graph of g is steeper than the graph of f, and the y-intercept is translated up.

• The graph of g is less steep than the graph of f, and the y-intercept is translated down.

• The graph of g is less steep than the graph of f, and the y-intercept is translated up.

The graphs of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?

The graphs of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?

The graphs of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?