Functions (linear)

f(x) = x+2 and g(x) = -x +2 . What transformation happened?

• One way stretch, parallel to x-axis, with scale factor 1/a

• One way stretch, parallel to y-axis, with scale factor a

• Translation of f(x) with vector (t , s)

• Reflection of f(x) in the x-axis

• Reflection of f(x) in the y-axis

Describe the transformation of f(x) to g(x).

• down 5 units

• up 5 units

• right 5 units

• left 5 units

 $m=\frac{1}{10}$  then you should move

• up 1 and left 10

• up 10 and left 1

• up 1 and right 10

• down 1 and right 10

Translate the point (6, -3) six units to the left, then reflect the translated point over the x-axis.

• (0, 3)

• (0, -3)

• (-6, -3)

• (6, -3)

Write an algebraic rule for the dilation. Don't put any spaces in your answer.

Write the equation of the line that has been reflected over the y axis and was originally y= -4x+1 (no spacing)

y = ______

This linear function has a vertical shrink of 1/5 and a vertical shift up 9.

• $y=9x+5$

• $y=-\frac{1}{5}x-9$

• $y=\frac{1}{5}x+9$

• $y=5x-9$

How can you determine if there is a reflection in a linear equation?

• The y - intercept is negative

• The slope is negative

• The y - intercept is 0

• The slope is 0

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 2 units up of the graph of f
• The graph of f is a horizontal translation two units left of g
• The graph of g is a vertical stretch by a factor of 2 of the graph of f
• The graph of g is a reflection of the graph of f

What does the transformation f(x)↦5f(x) do to the graph of f(x)?

• Stretches it vertically

• moves down

• moves up

• compresses it vertically