Transformations on a Graph

Describe the parent graph transformation

• h. stretch, left 1, down 3

• h. shrink, right 1, down 3

• v. shrink, left 1, down 3

• v. stretch, right 1, down 3

Tags

CCSS.HSF.BF.B.3

• y = Ix + 2I - 1
• y = -Ix + 2I - 1
• y = -Ix - 2I - 1
• y = -Ix + 1I - 2

The graph of
f(6x) 
represents what kind of transformation?

• Vertical stretch

• Vertical shrink

• Horizontal stretch

• Horizontal shrink

The graph of
f(1/2 x) 
represents what kind of transformation?

• Vertical stretch

• Vertical shrink

• Horizontal stretch

• Horizontal shrink

The graph of
0.7 f(x) 
represents what kind of transformation?

• Vertical stretch

• Vertical shrink

• Horizontal stretch

• Horizontal shrink

Under a translation, the image of the point (2, 1/2) is the point (-3 , 2 1/2).   Find the equation of the image function, if the parent function is f(x) = 1/x.

• f(x) = 1 / (x+5) + 2

• f(x) = 1 / (x+3) - 2

• f(x) = 1 / (3x) + 2

• f(x) = 1 / (x-3) - 2

Tags

CCSS.HSF.BF.B.3

Under a scale change, the image of the point (2, 4) is the point (1, -4).   Find the equation of the image function, if the parent function is f(x) = x²

• f(x) = -(x+1)²

• f(x) = -(2x)²

• f(x) = (-1/2 x)²

• f(x) = -(1/2 x)²

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is a reflection.

• Graph g translated down 2 units.

• Graph g is steeper.

• Graph g is less steep.

If the graph of the parent function f(x) = x is shifted 7 units up and is horizontally compressed by a factor of 3, what is the function?

• g(x) = f(7x) + 3

• g(x) = 3f(x) - 7

• g(x) = f(3x) + 7

• g(x) = 7x - 3

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