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
They can be equal if the absolute value of b is 1.
Answer:
4
Step-by-step explanation:
Answer:
The balance amount owed on the credit card altogether = $258.43
Step-by-step explanation:
Here, the current amount owed on the credit card = $225.45
Now, the amount of payment made to the credit card = $55.00
So, the remaining amount owed = Current Debt - Paid Amount
= $225.45 - 55 = $170. 45
Again, the purchase amount at Macy's = $87.98
⇒ New amount owed on credit card = Previous Debt + New Purchase
= $170. 45 + $87.98 = $258.43
Hence, the balance amount owed on the credit card = $258.43
