transformations of quadratic functions

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

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Translation left 2 units

• Narrower

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

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

The vertex of the quadratic function f(x) in the picture (2, -2). If g(x) = f(x) - 4, what is the vertex of g(x)?

• (2, -6)

• (2, 2)

• (-2, -2)

• (6, -2)

The vertex of the quadratic function f(x) = -2x² + 4x + 3 is (1, 5). If g(x) = f(x - 2), what is the vertex of g(x)

• (1, 3)
• (1, 7)
• (-1, 5)
• (3, 5)

The vertex of the quadratic function f(x) = -x² - 4x + 12  is (-2, 16). If g(x) = f(x) + 3, what is the vertex of g(x)?

• (-2, 13)
• (-2, 19)
• (-5, 16)
• (1, 16)

Describe the transformation of y = (x - 4)²

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Describe the transformation of y = x² + 4

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

How did we transform from the parent function?
y = x² + 2

• horizontal shift up
• vertical shift up
• horizontal shift down
• vertical shift down

In the graph of the function y=x², which describes a vertical shift in the parent function up 5 units?

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