Translate the algebraic statments into words: y=2x+5 and y=6x+5

a. What do you know about figure 0 for each pattern

Explanation:

In the real world patterns and relationships are expressed with words.

Some of those relations or patterns are complex and enclose unknown facts, questions or problems that you might want to elucidate. When those relationships can be translated into algebraic statements the solution to the such questions or problems may be systematic an easier. Thus, translating verbal statements into algebraic expresssions and viceversa is a very important mathematical skill.

Here, you need to understand what the algebraic expressions represent in words.

1. y = 2x + 5

As you can see the variable x is multiplied by two and after the multiplication a constant, 5 is added. Thus, a good translation for that statement into words would be:

2. y = 6x + 5

In this case the variable x is multiplied by six ant then 5 is added.

A good translation would be:

3. What do you know about figure 0 for each pattern?

As for the question about about figure 0 for each pattern, you just replace x with zero and get the

Hence, both patterns show that there are 5 units of y when there are zero units of x (depending onwhat y represents, it might be tiles, cars, money, whatever the pattern accounts for).

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

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