Answer:
f(x) = -3x
--->#6
f(x) = |x-1|+3
--->#5
f(x) = √(x+3)
--->#3
1/2x²
--->#1
f(x) = (x+1)²-3
--->#4
4|x|--->#2
Step-by-step explanation:
Recall for transformations:
- Adding a number outside the function moves it up
- Subtracting a number outside the function moves it down
- Adding inside the function moves it to the left
- Subtracting inside the function moves it to the right
- Multiplying to the function by a number less than 1 compresses
- Multiplying to a function by a number greater than 1 stretched it
- Multiplying by a negative flips the graph
f(x) = -3x
This is multiplication by a number greater than 1 and a negative so this stretches and flip. This is #6, a reflection.
f(x) = |x-1|+3
Subtraction inside the function shifts it to the right 1 and addition outside shifts it up 3. This is #5.
f(x) = √(x+3)
Addition inside the function shifts it to the left 3. This is #3
1/2x²
Multiplication by 1/2 which is less than 1 compresses it. This is #1.
f(x) = (x+1)²-3
Addition inside the function shifts the function to the left once. This is #4.
4|x|
Multiplying by 4, a number greater than 1, stretches it. This is #2.
Answer:
The similarity ratio is 4 4/1 or 4
Step-by-step explanation:
You find that one of them has side lengths of 1 and the other has side lengths of 4
Answer:
Step-by-step explanation:
drain empties 1/10 of the desired amount per minute
pump fills 1/14 of the desired amount per minute
when both are active, the net drain is 1/10-1/14 = 1/35 of the desired amount per minute
It takes 35 minutes to reach the cut-off level.
Answer:
2^4
Step-by-step explanation:
there are four 2's being multiplied to each other.
You can combine them and say 2 x 2 x 2 x 2 = 2 ^4
Answer:
16 units.
Step-by-step explanation:
Just to make things easy, let's name the points A(3,9) B(5,9) C(3, 3) and D(5, 3).
Because this question wants perimeter, we'll just use the distance formula twice, then l*2 + w*2 = p.
Distance formula is sqrt((x1 - x2)^2 + (y1 - y2)^2) = d.
sqrt((5 - 3)^2 + (9 - 9)^2) = 2
sqrt((5 - 5)^2 + (9 - 3)^2) = 6.
The distance of points A and B is 2 units, and B to D is 6 units, multiply both by 2, (2*2=4, 6*2=12) and add the values to find 16 units.
Hope this helps, and if this is for OW, I feel your pain.
