- - Solve:
- - Answer:
<span>17.391304 is your amount.
</span><span />
X represent the smaller number and
represent the larger number
Answer: stretched by a factor of 2 and translated 8 units right and 5 units down
Explanation:
These is the set of choices that accompany with this question:
<span>a) stretched by a factor of 2 and translated 64 units right and 5 units down
b) stretched by a factor of 8 and translated 8 units right and 5 units down
c) stretched by a factor of 2 and translated 8 units right and 5 units down
d) stretched by a factor of 8 and translated 64 units right and 5 units down
Solution:
</span>Let's work a little the given function to compare it with the parent function.
1) The given function is y = ∛[8x - 64] - 5
2) Extract common factor 8 of the expression inside the square brackets:
y = ∛[ 8( x - 8) ] - 5
3) Extract 8 from the root:
y = 2∛(x - 8) - 5
4) The parent function is ∛x. Call the parent function g(x) => g(x) = ∛x
5) Compare: y is 2 * g(x - 8) - 5
6) Analyze the meaning of that:
g(x - 8) means that the graph of the function is translated 8 units to the right
scaling by 2 means that the graph is stretch vertically (by a scale factor of 2)
- 5 means that the entire graph is shifted 5 units downward.
So, the description of the graph y = ∛(8x - 64) - 5 compared to the parent cube root function is: stretched by a factor of 2 and translated 8 units right and 5 units down
