4.07 Linear Transformations Review

Match the type of transformation with its description

• Dilation

• I'm flipped across a line

• Translation

• I push away from or pull into an axis

• Reflection

• I slide up, down, left, or right, but my slope remains the same

Match the description to its transformation

• Reflection over y-axis

• k is multiplied to my input

• Reflection over x-axis

• k is added to my input

• Horizontal Dilation

• k is multiplied to my output

• Vertical Dilation

• -1 is multiplied to my output

• Horizontal Translation

• -1 is multiplied to my input

f(x)=3x  and  g(x)=f(x−2)

What kind of transformation is this:

• Translation

• Reflection

• Dilation

• This is not a transformation

f(x)=3x  and  g(x)=f(x−2)

Describe the transformation that occurs

• The graph of f(x) is reflected over the x-axis.
• The graph of f(x) is stretched vertically by a factor of 3.
• The graph of f(x) is shifted 2 units to the left.
• The graph of f(x) is shifted 2 units to the right.

f(x)=3x  and  g(x)=f(x−2)

Which function represents g(x)?

• g(x) = 3x - 6
• g(x) = 3x + 6
• g(x) = 3x - 2
• g(x) = 3x + 4

Write the equation for function h(x).

h(x) = _________________

What kind of transformation is this?

• Translation

• Dilation

• Reflection

• This is not a transformation.

Tags

CCSS.HSG.CO.A.2

Which statement describes the transformation that occurs between functions f and h?

• horizontal compression by a factor of 1/2

• vertical stretch by a factor of 2

• horizontal stretch by a factor of 2

• vertical compression by a factor of 1/2

Write the equation for function g.

g(x) = __________

g is a reflection over:​ (a)   ​

• x-axis
• y-axis