quadratic transformation

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)

• The parabola shifts right 3 units and down 2 units.

• The parabola shifts up 3units and left 2units

• The parabola shifts left 3 units and up 2 units.

• The parabola shifts left 3 units and down 2 units.

• The parabola horizontally shifts right 3 units.

• The parabola horizontally shifts right 3 units and reflected across the x-axis.

• The parabola vertically shifts up 3 units and reflected across the x-axis.

• The parabola horizontally shifts left 3 units and reflected across the x-axis.

Which equation shifts g(x) = x² up 4 units and left 1 unit. It is also vertically stretches by a factor of 3 and reflected across the x-axis.

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

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