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Answer:
Step-by-step explanation:
Any side to side movement of a function will be reflected inside a set of parenthesis with the x. For example, if the function was a parabola, the parent graph could be, very simply,
Side to side movement would make the equation look like this:
where h is the x coordinate of the vertex.
Up or down movment would make the equation look like this:
for movement upwards, or
for movement downwards. The k represents the y coordiante of the vertex in this parabola.
Because our function has NO numbers inside the parenthesis with the f(x), but it has a -1 after, we are moving the parent graph of this function, whatever it is, down one from its starting position.
Answer:
Proof provided in the explanation.
Step-by-step explanation:
I'm going to rewrite that middle term so I can apply Pythagorean Identity, :
Use :
Distribute:
Combine like terms:
Applying inverse property of addition:
Applying identity property of addition: