Transformations of Linear Function Graphs

What is a parent function in the context of transformations?

• A function that has no transformations applied to it.

• A function that is the most complex in its family.

• A function that has been transformed multiple times.

• A function that is the most basic in its family.

Tags

CCSS.HSF.BF.B.3

In the transformation f(x) = x - 3 to g(x) = f(x + 4), what is the new equation of g(x)?

• y = x - 1

• y = x + 7

• y = x - 7

• y = x + 1

What type of transformation is represented by f(x) = -3x + 1 to g(x) = 3x + 1?

• Stretch

• Reflection

• Vertical translation

• Horizontal translation

Which transformation is indicated by a negative sign in the function notation?

• Reflection

• Shrink

• Stretch

• Translation

If a transformation happens inside the parentheses, what type of transformation is it?

• No transformation

• Diagonal transformation

• Horizontal transformation

• Vertical transformation

What does a horizontal translation do to the graph of a function?

• Shifts it up or down

• Reflects it across the x-axis

• Shifts it left or right

• Stretches or shrinks it

In the transformation f(x) = -x to g(x) = f(1/4x), what is the new slope of g(x)?

• -1

• -1/4

• 1/4

• 1

What is the effect of multiplying the entire function by a factor of 1/3?

• Horizontal shrink

• Vertical shrink

• Vertical stretch

• Horizontal stretch

If a transformation is described as f(2x), what type of transformation is it?

• Vertical shrink

• Vertical stretch

• Horizontal stretch

• Horizontal shrink

What type of transformation is indicated by the function g(x) = -f(x)?

• Horizontal translation

• Vertical reflection

• Horizontal reflection

• Vertical translation

Tags

CCSS.HSF.BF.B.3