Write an equation for each translation of y=|x|. 13 units down
2 answers:
Answer:
y = |x| - 13.
Step-by-step explanation:
We know that,
Translation is a transformation that shifts the figure in any direction by some scale factor.
The general form for horizontal translation of a function f(x) is f(x \pm k) and vertical translation is f(x) \pm k, where k is any constant.
We are given y = |x| and are required to translate it 13 units down.
Which means that we are asked to translate the function y = |x| vertically 13 units down.
So, comparing with the general form, we get that the equation for translating y = |x| 13 units down is y = |x| - 13.
It can also be seen below that the graph of y = |x| -13 translates the function 13 units down.
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Hey there!
The answer to your question is, yes, it is
Given:
To see if they are equal, we can use cross products (see below for information about this, if you don't know what it is). Let us assume they are equal. This would mean that:
Let's solve it and see if it is true:
Therefore, they <em>are </em>proportional.
<u>Cross products</u>
WORD DEFINITION:
Given two fractions, you can take the numerator of the first fraction multiplied by the denominator of the second fraction and it should equal the denominator of the first fraction multiplied by the numerator of the second fraction.
ALGEBRAIC DEFINITION:
Given two fractions,
,
<em>should </em>equal to
Hope it helps, and have a terrificly amazing day!