Reflections
f(x) = 3x + 2. Reflect across the y - axis
What is g(x) = -3x+2
f(x) = 2x + 3. Shift two units up.
What is g(x) = 2x + 5
f(x) = 2x - 1. Vertical stretch by a factor of 1/2
What is g(x) = x - 1/2
f(x) = 1/3x -2. Vertical stretch by a factor of 3
What is g(x)= x - 6
Name the transformations involved in transforming y = x into (y+6)/(2/3) = x.
- No reflections
- Stretch vertically by factor 2/3
- Translate down 6
f(x) = 15x-5. Reflect across the x - axis
What is g(x) = -15x + 5
f(x) = 7x - 7. Shift four units up
What is g(x) = 7x - 3
f(x) = 3x + 2. Vertical stretch by a factor of 1/4
What is g(x) = 3/4x + 1/2
f(x) = x - 2. Vertical stretch by a factor of 5
What is g(x) = 5x - 10
The transformational form of y = 2x + 6
What is y/2 = x + 3 OR (y - 6) / 2 = x OR (y - 6) = x/(1/2)?
f(x) = 2/3x +7. Reflect across the y - axis
What is g(x) = -2/3x + 7
f(x) = 2/5x +6. Shift seven units down
What is g(x) = 2/5x - 1
f(x) = 2x - 1. Horizontal stretch by a factor of 1/3.
What is g(x) = 6x - 1
f(x) = 4x + 8. Vertical stretch by a factor of 5/4
What is g(x) = 5x + 10
The transformational form of y = -1/3 x - 7
What is (y+7)=-x/3 OR (y+7)/(1/3)=-x?
The rule for reflection across the x - axis
What is -f(x)
f(x) = 10x - 4. Shift 5 units to the right
What is g(x) = 10x - 54
f(x) = 6x + 8. Horizontal stretch by a factor of 6/7
What is g(x) = 7x + 8
f(x) = -2x + 0.5. Horizontal stretch by a factor of 4/3
What is g(x) = -3/2x + 0.5
The transformational form of y = 2/3x - 6.
Three possible answers are: What is y + 6 = x/(3/2) OR y/(2/3) = x - 9 OR (y+6)/(2/3) = x?
f(x) = 200x + 9. Shift ten units to the left
What is g(x) = 200x + 2009
f(x) = 3x - 6. Horizontal stretch by a factor of 1/3
What is g(x) = 9x - 6
f(x) = 5x + 3. Horizontal stretch by a factor of 5/2
What is g(x) = 2x + 3