You can plot this by turning the fraction into a decimal. -1&1/3rds is -1.333... and 1/6ths is about .16, so then you can find these points on the number line. Also, the number line has 6 points equal one, so the points by those.

3 0

3 years ago

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Below is the graph of y = |x| . .Translate it to make it the graph of of y=|x-2|+4

sineoko [7]

Explanation

Given a function f(x) we translate the function:

• a units horizontally (a > 0 to the right, a < 0 to the left),

• b units vertically (b > 0 up, b < 0 down),

by the transformation:

$f(x)\rightarrow g(x)=f(x-a)+b.$

In this case, we have:

$\begin{gathered} f(x)=|x|, \\ g(x)=|x-2|+4=f(x-2)+4. \end{gathered}$

Comparing f(x) and g(x) with the general transformation above, we see that the graph of g(x) is the graph of f(x) translated:

• a = 2 units to the right,

• b = 4 units up.

Translating the graph of f(x), we get:

Answer

The translated graph is the graph in red:

7 0

1 year ago

The sum of three consecutive integers is 267. What is the largest integer?

vazorg [7]

Answer:

Step-by-step explanation:

The middle number of three consecutive integers is thhe mean of the others, so it is one third of the sum of three consecutive integers

267:3 = <u>89 </u> - the middle number

so:

89 - 1 = 88 - the smallest number

89 + 1 =<u> 90</u> - the largest integer

3 0

3 years ago