Quadratic Transformations

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

• (-4,3)

• (4,3)

• (-4,-3)

• (4,-3)

Which quadratic function below is not reflected down?

• right 3, down 2

• up 3, left 2

• left 3, up 2

• left 3, down 2

• right 3

• Reflected down, right 3

• Reflected down, up 3

• Reflected down, left 3

Write an equation of a quadratic that is translated down 2 units.

Which quadratic would be the narrowest?

Match the equation to its description.

• Reflected over x and up 4
• Reflected over x and down 4
• Reflected over x and right 4 
• Reflected over x and left 4

If the blue is f(x)=x^2, then the red must be

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²