Transforming Linear Functions

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

Which transformation will occur if y = x is replaced with y = x + 2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which equation is the transformation of y = x + 1 with a vertical translation down 3 units and a reflection over y-axis

• y = -x - 2

• y = x + 2

• y = -x + 3

• y = -x

What is the linear parent function?

• f(x) = x 
• y = mx + b 
• f(x) = 2x 
• f(x)  = y 

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

How did the equation shift from the parent function? y = 1/2x

• Steeper

• shift up

• Less Steep

• shift down

Morrison is researching different gyms’ cost to join. Each gym charges an initial fee to join and a monthly fee.
Work It Out gym uses the equation y = 35x + 40 and
Make Me Fit gym uses the equation y = 45x + 40. Which statement best describes the change?

• A. The initial fee is $10 higher. 
• B. The initial fee is $10 lower. 
• C. The monthly fee is $10 higher. 
• D. The monthly fee is $10 lower.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which line is the steepest?

• Blue because the equation has +4
• Red because it is the parent function
• Blue & Green have the same steepness
• Pink because the equation has a 5

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

How did the equation shift from the parent function? y = 3x - 2

• Less steep and shift down 2

• Shift up 2

• Shift down 2

• Steeper and shift down 2

How did the equation shift from the parent function? y = -3x + 5

• Flipped, steeper, up 5

• Less steep

• Down

• Moved right

What would be the equation of g(x) = x + 3 if it has a vertical shift of 3 downwards?

• h(x) = x + 7

• h(x) = -2x

• h(x) = x

• h(x) = 6x