Transformation With Steep Lines

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

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

• The graph of f is a horizontal translation two units left of g

• The graph of g is a vertical stretch by a factor of 2 of the graph of f

• The graph of g is a reflection of the graph of f

The parent function g(x) is shown on the graph. The function f(x) is shown on the graph. The slope of f(x) is _________________ the slope of g(x).

• Steeper

• Less steep

• Equal to

What will happen to this function as compared to the parent function y=x?

• Flips

• More Steep

• Less Steep

• Down 5

A line's slope is changed from 2 to 3. Did it get steeper or flatter?

• steeper

• flatter

• no change

Given triangle ABC is reflected over the line y=x+2, which of the following must be true?

• (x,y)->(-x,y)

• Triangle ABC is similar to triangle A'B'C'

• Line BB' is Parallel to the line y=x+2

• Line CC' is Perpendicular to the line y=x+2

• Line Segment BB' is Congruent to Line Segment CC'

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.

• The graph of g is a vertical translation 4 units up from the graph f

• The graph of g is a horizontal translation of the graph of f, 4 units right

• The graph of g is a horizontal translation of the graph of f, 4 units left

• The graph of g is a vertical stretch of the graph of f, by a factor of 7

The slope is greater, the line is becoming more vertical.

• Discrete

• Steeper

• Less Steep

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

• Graph g has been reflected.

• Graph g has been shifted down 2 units.

• Graph g is steeper by a factor of 2

• Graph g is less steep by a factor of 1/2