Basic Translation of a Function

In Exercises 19-24, use the graphs of f and h to describe the transformation from the graph of f to the graph of h. The graph of h is a _____ (a)   of the graph of f by a factor of ____.

• reflection

• shrink

• stretch

• x-axis

A change that shifts a graph horizontally, vertically, or both. This does not change the shape of the graph.

• Translation

• Transformation

• Vertex

• Reflection

• Horizontal shift

• Vertical Translation

• Reflection over the x-axis

• Reflection over the y-axis

What equation would yield a transformation right 3 units if your initial function was y=2^x

• y=2^x-3

• y=2^x+3

• y=2^x+3

• y=2^x-3

Tags

CCSS.HSF.BF.B.3

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up

• 4 units to the left

• 4 units to the right

• 4 units down

Tags

CCSS.HSF.BF.B.3

• Translates left 2 units

• Translates right 2 units

• Translates up 2 units 

• Translates down 2 units

Tags

CCSS.HSF.BF.B.3

What transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -2^(x+3) -6

• It stayed the same

• reflects, up 3, left 6

• reflects, right 3, down 6

• reflects, left 3, down 6

Tags

CCSS.HSF.BF.B.3

What transformations have occurred? 

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right