LINEAR TRANSFORMATIONS

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

• 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

Which transformation will occur if f(x) = x is replaced with 2f(x)?

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal compression by a factor of 1/2

If the graph of the parent function is shifted 7 units up and is steeper than the parent function, which of these could represent the function?

• f(x) = 7x + 3

• f(x) = x + 7

• f(x) = 3/2x + 7

• f(x) = 2/3x + 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

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 6). Does this result in a horizontal or vertical translation?

• horizontal

• vertical

How did the equation shift from the parent function? f(x)=(x-3)+5

• 3 right, 5 up
• 3 left, 5 up
• 3 Down
• Moved 5 right

What function is best represented by the graph of g?

• f(x) - 3

• f(-x)

• 1/3f(x)

• 3f(x)

The graph of line t is shown.

Line w is steeper than line t and has a y-intercept that is below the y-intercept of line t. Which function could be represented by line w?

• $y=-\frac{2}{3}x-1$

• $y=-\frac{3}{8}x+4$

• $y=-\frac{4}{3}x+4$

• $y=-\frac{1}{4}x-1$