Answer:
The function has been flipped due to the negative in front.
The function has been shifted 17 units to the left.
The function has been shifted 4.3 units down.
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.
- Multiplying by a negative flips the graph.
The graph of
compares to
in the following ways:
The function has been flipped due to the negative in front.
The function has been shifted 17 units to the left.
The function has been shifted 4.3 units down.
Recognize that you must combine "like" terms. 5x^2y and x^2y are "like" terms.
Adding them together, you get 6x^2y.
Now add 2xy^2 to 6x^2y. These are NOT "like" terms, so you end up with
6x^2y+2xy^2 as your final answer. This answer is acceptable as is.
However, you could factor out the common factors: 2xy(3x+y).
Answer:
Lourdes has more brownies.
Step-by-step explanation:
First, you have to find a common denominator. Whatever you do to the bottom of the fraction you do to the top. 5/6 and 4/5 has a common denominator of 30. Multiply both digits in 5/6 by 5. Then multiply both digits in 4/5 by 6. Then you can compare the fractions. With the common denominators, Lourdes should have 25/30 brownies and Zachary has 24/30. Compare.
24/30 < 25/30. So Lourdes has the most brownies!