The linear parent function, f(x) = x, is transformed to g(x) = f(x) -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
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
mt-8 sb-6-Linear Transformationsimg_no 55.jpg
  • 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
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
A student graphed f(x) = x and g(x) = ⅓f(x). Which statement is true?
  • The graph of f is steeper than the graph of g.
  • The graph of f is less steep than the graph of g.
  • The graph of f is shifted 2 units up to create the graph of g.
  • The graph of f is shifted 2 units to the right to create the graph of g.
Which transformation will occur if f(x) = x is replaced with  14f(x)\frac{1}{4}f\left(x\right)41​f(x)  ?
  • Vertical stretch by a factor of 4
  • Vertical compression by a factor of 1/4
  • Vertical translation up by 1/4 units.
  • Horizontal compression by a factor of 1/4
What is the linear parent function?
  • y = x
  • y = mx + b
  • f(x) = 2x
  • Not here
If the graph of the parent function f(x) = x is shifted 7 unitsdown, which of the following equations would the new graphedline represent?
  • f(x) = 7x
  • f(x) = x - 7
  • f(x) = x + 7
  • f(x) = 7x - 7
Describe the transformation from the parent function: y = 3x + 5
  • Steeper; Shift up 5 units
  • Steeper; Shift down 5 units
  • Flatter; Shift up 5 units
  • Flatter; Shift down 5 units
Which of the following g(x) equations is vertically stretched and shifted down from f(x) = x?
  • g(x) = 2 f(x) + 6
  • g(x) = 1/2 f(x) + 6
  • g(x) = 2 f(x) - 6
  • g(x) = 1/2 f(x) - 6
The linear parent function, f(x) = x, is transformed to g(x) = f(x) +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
Which transformation on f(x) = x is g(x) = -f(x)
  • Reflection across the y-axis
  • The slope will be less steep
  • The graph will be wider
  • Reflection across the x-axis.
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
mt-8 sb-6-Linear Transformationsimg_no 56.jpg
  • Graph g is a reflection.
  • Graph g shifts down 2 units.
  • Graph g is steeper by a factor of 2
  • Graph g is less steeper by a factor of 1/2
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
mt-8 sb-6-Linear Transformationsimg_no 57.jpg
  • 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.
mt-8 sb-6-Linear Transformationsimg_no 58.jpg
  • Graph g shifted down 3 units
  • Graph g shifted down 4 units
  • Graph g shifted up 4 units
  • Graph g reflected
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
mt-8 sb-6-Linear Transformationsimg_no 59.jpg
  • Graph g shifted down 6 units
  • Graph g is steeper by a factor of 7
  • Graph g is less steep by a factor of 1/3
  • Graph g shifted up 6 units
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
mt-8 sb-6-Linear Transformationsimg_no 60.jpg
  • Graph g reflected
  • Graph g shifted up 2 units
  • Graph g reflected and shifted down 2 units.
  • Graph g reflected and shifted up 2 units
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