The graph of f(x) = x is given. Which equation will translate the graph 3 units down?
2 answers:
Answer:
<h2>C. g(x) = x - 3</h2>Step-by-step explanation:
The given function is
When we transform a parent function, we can translate it, rotate it, stretch it or expand it. However, in this case, the problem is asking for translations.
If we want to translate the function downside, we just have to subtract units from f(x), like this f(x) - u.
If we want to translate the function horizontally, we have to add or subtract units to the x-variable of the function.
So, in this case, to move the parent function 3 units down, we have to subtract 3 units.
Therefore, the transformation would be
So, the right answer is C.
You might be interested in
<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>in</em><em> </em><em>attached</em><em> </em><em>picture</em><em>.</em>
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em>
Set it up like a regular equation. I used:
As you can see, however, I inserted the "less than" symbol rather than the equal sign because values greater than a certain value can also equal "x". Solve it like a normal equation and you will arrive at:
<u>
</u>
This means that, as long as x is greater than 45, "6x" will be greater than "3x+135". Thus, if you bring 46 students, the Science Center will cost less.
As you can see, however, I inserted the "less than" symbol rather than the equal sign because values greater than a certain value can also equal "x". Solve it like a normal equation and you will arrive at:
<u>
</u>
This means that, as long as x is greater than 45, "6x" will be greater than "3x+135". Thus, if you bring 46 students, the Science Center will cost less.