The slopeof a linear function h(x) is 2. suppose the function is translated 8 units up to get d(x). how can h(x) be translated to the left or right to represent the same function d(x)?

4 units to the right

Step-by-step explanation:

Since all we know about function h(x) is that it has slope 2, we don't know its y intercept, so let's call it b and write the equation of that first line as:

Now, we translated that function up 8 units to get function d(x). This vertical displacement is expressed by adding 8 units to function h(x):

We want to translate this last function d(x) either to the right or to the left in order to get the same expression as for function h(x).

Recall that translations to the right or left a fix number of units "c" affects the "x" coordinate of the function (by adding "c", we move to the left c units the graph of the function, and by subtracting "c" we move to the right the graph of the function).

So represent a generic shift for d(x) for example to the right in c units:

Now we want this new shifted function to be EXACTLY as h(x) so we write the equality:

We can solve in the equation for the value "c" we need for the translation:

subtracting 2x from both sides, and also subtracting "b" from both sides.

This means that the translation to the right by 4 units will result on the exact same graph as for function h(x)

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

inch

step-by-step explanation:

yard and mile are too big.