Function Transformation

Determine if the following function will be narrow (stretch) or wider (shrink): $$4\left(x-3\right)^2+4$$  

Which of the following describes the transformations of the function g(x) from the parent function of f(x) = x² ? g(x) = 2x² + 4

Describe the transformation of g(x) from its parent function f(x). g(x) = -(x + 3)²

The transformation of f(x) = x is given by g(x) = f(x - 3). Describe the transformation.

The graph of g(x) is a
(a)   translation ​ (b)   units ​ ​ (c)   the graph.

The graphs of $$f\left(x\right)$$ and are shown above. Based on the graphs, what is the value of $$h$$ ?

Answer with just the number value

Given the following, translate the graph seven left and two up!

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

The graph of r(x) is a​ ​ (a)   ​by the graph of f(x) by a factor of ​ ​ (b)   .

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.