Linear Transformations Slope

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is less steep by a factor of 1/5

• Graph g shifted down 1 unit

• Graph g is steeper by a factor of 1/5

• Graph g shifted up 2 units

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g shifted down 6 units

• Graph g is steeper by a factor of 7

• Graph g is less steep by a factor of 1/3

• Graph g shifted up 6 units

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g reflected

• Graph g shifted up 2 units

• Graph g reflected and shifted down 2 units.

• Graph g reflected and shifted up 2 units

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

• f(x) = 7x

• f(x) = x - 7

• f(x) = x + 7

• f(x) = 7x - 7

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

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.

f\left(x\right)=x and g\left(x\right)=2x-4
Which statement about the relationship of these two graphs is true?

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

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

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

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

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

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

• The graph of g is reflected, and the y-intercept is translated down.

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

• 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.