Transforming Linear Functions

• reflection over y axis, horizontal shift to the right 2 and vertical stretch by a factor of 3
• reflection over x axis, horizontal shift to the right 2 and vertical stretch by a factor of 3
• reflection over x axis, horizontal shift to the left 2 and vertical stretch by a factor of 3
• reflection over x axis, horizontal shift to the left 2 and vertical compression by a factor of 3

Tags

CCSS.MATH.CONTENT.HSA.CED.A.2

A line's y-intercept is changed from 8 to 2. Which way did it shift?

• up

• down

• left

• right

Tags

CCSS.MATH.CONTENT.HSA.CED.A.2

A line's y-intercept is changed from -4 to -6. Which way did it shift?

• up

• down

• left

• right

Tags

CCSS.MATH.CONTENT.HSA.CED.A.2

A line's y-intercept is changed from -1 to 0. Which way did it shift?

• up

• down

• left

• right

Tags

CCSS.MATH.CONTENT.HSA.CED.A.2

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation. (a)  

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 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 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

What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x- 7)? Complete the sentence by selecting the correct answers from the drop-down menus. The graph of the line ​ (a)   ​ ​ (b)   7 units.

• shifts horizontally

• up

• down

• left

• right

• shifts vertically

• vertically

• horizontally

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled (a)  

• f(x) = 5x - 2

• f(x) = 4x + 2

• f(x) = 4x + 3

• f(x) = 5x - 4

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

• 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