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
Answer:
16
Step-by-step explanation:
DE is the vertical line x=1. It extends between y=2 and y=7, a distance of 5 units.
EF is the horizontal line y=7. It extends from x=1 to x=4, a distance of 3 units.
Then the perimeter of half the rectangle is 5+3 = 8 units.
The perimeter of the rectangle is 2·8 = 16 units.
Answer:
$18.42
Step-by-step explanation:
6 folders-7.74
7 pens-6.93
5 packs of pencils- 3.75
Answer:
OR 
Let's solve the equation step-by-step:
First, you must find the square root:
x = ± 
We know that 10 × 10 = 100 and -10 x -10 is 100
that means that the square root is either 10 or -10
And we also know that 
are both 100
meaning that x = OR
Answer:
Answer attached
Step-by-step explanation:
