Transformations of Linear Functions Quiz

• A. The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated down.

• B. The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up.

• C. The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated up.

• D. The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated down.

A linear equation y = x is graphed on a coordinate plane. The graph of a new line is formed by the equation y = -6x. Describe the transformation that occurred.

• The graph of the new line is reflected across the y-axis and is less steep than the original line.

• The graph of the new line is reflected across the x-axis and is less steep than the original line.

• The graph of the new line is reflected across the y-axis and is steeper than the original line.

• The graph of the new line is steeper than the original line only.

If a linear function is transformed from the parent function f(x) = x by reflecting across the y-axis and translating 7 unit down, write the function that depicts these transformations.

• g(x) = x - 7

• g(x) = x + 7

• g(x) = - x + 7

• g(x) = - x - 7

• g(x) = 2x + 3

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Describe the transformation from f(x) to g(x) in the graph below.

• A. g(x) translated 4 units down only

• B. g(x) translated 4 units down and stretched (steeper) by 3

• C. g(x) translated 2 units right and compressed (flatter) by 3

• D. g(x) translated 2 units right only

Match the following

• The line shifted 6 units to the left.

• f(x)+3

• The line shifted 6 units down.

• f(x+3)

• The line shifted 6 units to the right.

• f(x)-6

• The line shifted 3 units up.

• f(x+6)

• The line shifted 3 units to the left.

• f(x-6)

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

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

• left
• right
• up
• down

• down
• up
• right
• left