ANSWER
Left
EXPLANATION
The given function is
g(x)=f(x+1)
This means that the base function is:
f(x).
The translation f(x+k) will shift the graph to left by k units while f(x-k) will shift the graph to right by k units
Therefore if g(x)=f(x+1) translates the function f(x) 1 unit left.
Answer: left
Answer:
<h3>
By using the distributive property the matched equivalent expressions are</h3><h3>
1) -7(-4+x)
=28-7x
</h3><h3>
2) -7(4-x)
=-28+7x
</h3><h3>
3) 7(4+x)
=28+7x
</h3><h3>
4) 7(-4-x)
=-28-7x
</h3>
Step-by-step explanation:
Given that by using the distributive property to match the given equivalent expressions.
1) Given expression is -7(-4+x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
-7(-4+x)
=(-7)(-4)+(-7)(x)
=28-7x
<h3>∴ -7(-4+x)
=28-7x
</h3>
2) Given expression is -7(4-x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
-7(4-x)
=(-7)(4)+(-7)(-x)
=-28+7x
<h3>∴ -7(4-x)
=-28+7x
</h3>
3) Given expression is 7(4+x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
7(4+x)
=(7)(4)+(7)(x)
=28+7x
<h3>∴ 7(4+x)
=28+7x
</h3>
4) Given expression is 7(-4-x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
7(-4-x)
=(7)(-4)+(7)(-x)
=-28-7x
<h3>∴ 7(-4-x)
=-28-7x
</h3>
Hence the matched equivalent expressions are
1) -7(-4+x)
=28-7x
2) -7(4-x)
=-28+7x
3) 7(4+x)
=28+7x
4) 7(-4-x)
=-28-7x
Answer: n is a positive odd number.
Step-by-step explanation:
Ok, we know that the function is something like:
f(x)=a(x+k)^1/n + c
In the graph we can see two thigns:
All the values of the graph are positive values (even for the negative values of x), but in the left side we can see that the function decreases and is different than the right side.
So this is not an even function, then n must be an odd number (n odd allows us to have negative values for y = f(x) that happen when x + k is negative).
Also, we can see that the function increases, if n was a negative number, like: n = -N
we would have:

So in this case x is in the denominator, so as x increases, we would see that the value of y decreases, but that does not happen, so we can conclude that the value of n must be positive.
Then n is a positive odd number.
The parent function is either identity function or constant function
the translation is down 6
Answer:
Alternate interior angles
Step-by-step explanation: