Find the Equation for the Function Transformations

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

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

How did we transform from f(x) =x² to g(x) = -3x²

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

The image shows a ​ (a)   translation ​ (b)   units ​ (c)  

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.

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.

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

Shape Change: ​ (a)  

Horizontal Change ​ (b)  

Vertical Change: ​ (c)  

Parent Function: ​ (d)  

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