Linear Transformation

This line is known as f(x) and what else?

• grandma function

• grandpa function

• parent function

• baby function

• Shifts the graph left four units

• Shifts the graph right four units

• Shifts the graph up four units

• Shifts the graph down four units

Which transformation on

is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

How did the equation f(x) = x change if

g(x) = 1/2f(x) + 11

• Vertical stretch and shift up 11

• Horizontal compression and shift down 11

• Vertical compression and shift up 11

• Horizontal stretch and shift down 11

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

• vertical stretch factor 2 and translate up 3

• vertical stretch factor 2 and translate left 3

• vertical stretch factor 2 and translate down 3

• translate right 2 and up three

• translate six right and 7 up

• translate six left and 7 up

• translate six right and 7 down

• translate six left and 7 down

• reflect over x axis and vertical stretch by 2.

• reflect over y axis and vertical stretch by 2.

• reflect over x axis and horizontal stretch by 1/2.

• reflect over y axis and horizontal stretch by 1/2.

• vertical compression of 1/4, reflect over y-axis, translate down 1

• vertical stretch of 1/4, reflect over x-axis, translate down 1

• vertical compression of 1/4, reflect over x-axis, translate down 1

• horizontal compression of 4, reflect over y-axis, translate down 1

What is the linear parent function?

• y = x

• y = mx + b

• f(x) = 2x

• Not here

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2