Exploring Function Transformations Vertically

If a point (2, 4) is translated 7 units down, what are the new coordinates?

What does the term 'parent function' refer to?

If the vertex of y = x^2 is moved 2 units up, what is the new equation?

How do you represent a vertical shift of 3 units down in the equation y = x^2 + 3?

What is the new equation if the function y = x^2 + 3 is shifted 2 units down?

If f(x) = x^2 and g(x) is 4 units down from f(x), what is the equation for g(x)?

What is the shift for the function y = |x| - 10?

Omar graphed f(x) = x^2 - 3 and g(x) = x^2 + 2. How many units up is g(x) from f(x)?

If the vertex of f(x) = -3(x + 1)^2 + 2 is moved to g(x) = -3(x - 1)^2 - 5, how many units down is the shift?

Danette graphed f(x) = x^2 - 4x + 3 with a vertex at (2, -1). What is the new vertex if the function is shifted 3 units down?