Functions: Transformation

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

• y = x² + 2
• y = -x² + 2
• y = x² - 2
• y = -(x + 2)²

Tell how the graph transformed.
y = (x - 3)²

• Translated right 3
• Translated left 3
• Translated up 3
• Translated down 9

• translates it left one unit and down 9 units

• translates it right one unit and down 9 units

• translates it up one unit and right 9 units

• translates it down one unit and left 9 units

Identify the transformation.

• Reflection across y axis
• Reflection across x-axis
• 180 Rotation
• Translation 2 units down

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

Reflect the point (2, -4) over the y-axis.

• (-4, 2)
• (-2, 4)
• (-2, -4)
• (2, 4)

Reflect (6, -3) over the line x-axis.

• (6, 3)
• (-6, -3)
• (-3, 6)
• (3, -6)

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)² 

• shifted up five units
  reflection in x-axis
• shifted down five units
  reflection in x-axis
• shifted left 5 units
  reflection x-axis
• shifted right 5 units
  reflection x-axis

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)
• f(-x)
• f^-1(x)
• f(2x)