If f(x) = x2, which of the following describes the graph of f(x - 1)? a. the graph of f(x - 1) is a horizontal shift of f(x) = x2 one unit to the right. b. the graph of f(x - 1) is a vertical shift of f(x) = x2 one unit down. c. the graph of f(x - 1) is a vertical shift of f(x) = x2 one unit up. d. the graph of f(x - 1) is a horizontal shift of f(x) = x2 one unit to the left.

A

Step-by-step explanation:

To understand this, we can look at the vertical & horizontal translations of a parabola of the form  

When we replace x of the original function with (x-1), we have  . According to the rules, this means that the original function is shifted 1 unit right (horizontal shift).

Correct answer is A.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

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step-by-step explanation: