50 pts ! function g is transformation of function f. what is the equation of function g?

The transformations are a reflection across the x-axis and a vertical stretch by a factor of 3. This means that g(x)= −3f(x)

Transformations of Graphs

Many graphs can be formed from a known graph using graph transformations. Some of the most common transformations are below.  

•−f(x) is the graph of f(x),but reflected across the y axis.  

•f(−x)is the graph of f(x), but reflected across the x axis.  

•cf(x) is the graph of f(x), stretched vertically by a factor of c, if c>1or compressed vertically by a factor of c, if 0<c<1.

•cf(x) is the graph of f(x), compressed horizontally by a factor of 1c, if c>1 or stretched horizontally by a factor of 1c, if 0<c<1.

•  The graph of f(x)±c is the graph of f(x) shifted vertically up (for +) or down (for -) c units.  

•The graph of f(x±c) is the graph of f(x) shifted horizontally left (for +) or right (for -) c units.

Step-by-step explanation:

First, when examining the graphs of f and g notice that the graphs appear to be reflections of each other - but not quite perfectly. The graph of f goes up from left to right while the graph of g goes down from left to right. So there is a reflection across the x-axis.  

However, there is also some stretching that is occurring. The graph of both functions contains the point (1,0), but comparing some other points, the graph of f has (0,−1) while the graph of g has the point (0,3). With just a reflection, the graph of g would have (0,1), so it appears to be a vertical stretch by a factor of 3. Checking another point to confirm, the graph of f has a point near (−6,−2). A reflection across the x-axis would result in (−6,2) and a stretch by a factor of 3 would then make the point (−6,6), which matches the graph of g.

So, the transformations are a reflection across the x-axis and a vertical stretch by a factor of 3. This means that g(x)=−3f(x)g(x)=−3f(x)

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights