IM1 Q2 W2

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

• f(x) = 7x
• f(x) = x - 7
• f(x) = x + 7
• f(x) = 7x - 7

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

• Graph g shifted down 3 units

• Graph g shifted down 4 units

• Graph g shifted up 4 units

• Graph g reflected

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

What is a translation of a linear function?

• a rotation

• a flip

• reflection

• a vertical shift

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

• 3 right, 5 up
• 3 left, 5 up
• 3 Down
• Moved 5 right

How did the equation shift from the parent function? y = (x - 4)

• Shift right by 4
• Shift left by 4
• Horizontal Stretch by 4
• Vertical Stretch by 4

Given the equation y - 3 = 4 (x - 1), which point does the line go through?

• (3, 1)

• (1, 3)

• (-3, -1)

• (-1, -3)

What is the equation of the line that goes through (2, -5) and has an undefined slope?

• x = -5

• x = 2

• y = 2

• y = -5