f(x) = |x| and g(x) = |x| + 3 The translation applied to get the graph of g(x) from the graph of f(x) is .
2 answers:
Answer: Vertical translation of 3 units.
Step-by-step explanation:
Since when a function translated k units vertically then , then the new function becomes H(x)=h(x)+k.
We are given that f(x) = |x| and g(x) = |x| + 3 .
That means the graph of f(x) is translated by 3 units vertically .
Hence, the translation applied to get the graph of g(x) from the graph of f(x) is "Vertical translation of 3 units."
Furthermore it can be seen by the graph below.
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<h2>Answer: (x = 1)</h2>
Step-by-step explanation:
We are given the equation <em>6(5x - 3) = 1/3(24x + 12)</em>, and we must find the value of <em>x</em>.
The first step is to distribute. Distribute the <em>6 </em>to <em>5x </em>and <em>-3</em>, and distribute<em> 1/3 </em>to <em>24x </em>and <em>12</em>. This give us the equation <em>30x - 18 = 8x + 4</em> to work with.
The next step is to get <em>x </em>by itself. In order to do this, subtract 18 from each side of the equation. This gives get's rid of the <em>-18</em> and get's <em>x </em>by itself on one side of the equation and gives us the equation <em>30x = 8x +22</em>.
Now that x is by itself on one side of the equation, get 22 by itself on the other side of the equation. The way to do this is to subtract 8x from each side. This gives us the equation <em>22x = 22</em>.
Divide both sides by 22 and get the equation <em>x = 1</em>
<em>Hope that this helps and clears it up! Have a great day!</em>