Answer:
Compress the graph
Flip the graph
Shift the graph 4 units to the left
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
This graph has been multiplied by -1/3 which is less than 1. It will be compressed.
It will also flip the graph since it is changing to a negative and be an upside down U.
This graph has x added to by 4. It will shift left 4 units.
Answer: $65
Step-by-step explanation:
The store is having a 20% off sale.
Mai buys an item and saves $13.
This means that $13 is 20% of the price of the item that Mai bought.
Assume the original price is x. Expression is:
x * 20% = 13
x = 13/20%
x = $65
Answer:
Step-by-step explanation:
Let the original polynomial be .
We know that when it is divided by , the quotient is and we get a remainder of 3.
Therefore, this means that:
Remember what it means when we have a remainder. Say we have 13 divided by 3. Our quotient will be 4 R1, or 4 1 <em>over</em> 3. We put the remainder over the divisor. This is the same thing for polynomials.
So, to find our original polynomial, multiply both sides by :
The left side will cancel. Distribute the right:
Distribute:
Combine like terms:
Evaluate:
And we're done!
Answer:
6 1/3 yards = 19 feet
Step-by-step explanation:
1 yard = 3 feet
So we'll take the number of yards and multiply that by 3
6 yards x 3 feet/yard = 18 feet
for the 1/3 of a yard, you can either ask, "what's 1/3 of 3?" (= 1) or you can multiply 1/3 yard x 3 feet/yard = 1 foot.
Add up the parts, 18 + 1 = 19 feet