1D Vertical and Horizontal Stretches and Shrinks

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

• Horizontal translation left

• Vertical shrink

• Vertical translation down

• Horizontal translation right

• Vertical stretch

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.LE.A.2

Tags

CCSS.HSF.BF.B.3

• translates it left one unit and down 9 units

• translates it right one unit and down 9 units

• translates it up one unit and right 9 units

• translates it down one unit and left 9 units

Tags

CCSS.HSF.BF.B.3

• Shrinks the graph vertically by a factor of 1/3 and translates up 4 units.

• Stretches the graph by a factor of 3 and translates up 4 units.

• Translates the graph left 1/3 of a unit and up 4 units.

• Translates the graph right 3 unites and down 4 units.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation that occurred

p(x) = f(x + 3)

• Horizontal Translation Right 3 units

• Vertical Stretch

• Vertical Translation Up 3 units

• Horizontal Left 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

Describe the transformation that occurred.

h(x) = f(x) + 2

• Vertical Translation up 2 units

• Horizontal Translation left 2 units

• Vertical Strech

• Horizontal Translation right 2 units

Tags

CCSS.HSF.BF.B.3

If the graph of y = f(x) is shifted 7 units up and is a vertical stretch by a factor of 3, what is the new function g(x)?

• g(x) = f(7x) + 3

• g(x) = 3f(x) + 7

• g(x) = f(3x) + 7

• g(x) = 7x - 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  g(x) = 2x²
• B.  g(x) = 1/2x²
• C.  g(x) = x² + 2
• D.  g(x) = (x + 2)²

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7