Answer:
C) The parabola is narrower and reflected across the x-axis.
Step-by-step explanation:
The original parabola has equation:

The transformed parabola has equation

How wide the graph is can be determined by the absolute value of the coefficient.
The smaller the absolute value of the coefficient, the wider the graph.
Since

The original graph is wider than the transformed graph.
Also the negative factor tells us there is a reflection in the x-axis.
The DJs unit rate is 5 songs for every 1 commercial.
I found this by dividing both the commercials and the songs by their greatest common factor, or 2.
Answer:
1) 6x = 21
2) x + y - 3
3) x/z = y
4) 2-x = p
Step-by-step explanation:
1. The product of a number x and 6 is 21
A product is a multiplication. A product of a and b is a * b.
We then have a product of x and 6, that x * 6, which we write usually in the format 6x.
is 21: that means it's equal to 21....
so 6x = 21.
2. The sum of the quantity x- 3 and y
The sum is an addition. The sum of a and b is a + b.
In this case, the first part is x - 3, the second part is y
So, x - 3 + y, which we usually rewrite as x + y - 3
3. The quotient of x and z is y
A quotient is a division.
So, quotient of x and z is x/z.
x/z = y
4. The difference of 2 and x is p.
A difference is a subtraction.
Difference of 2 and x is 2 - x
2 - x = p
Answer: a: 8.25 b: 49.5
Step-by-step explanation:
To move a graph up, you need to add the units tot he end of the equation.
The graph of f(x) is f(x) = 15x+60
So add 12 to the equation to get g(x) = 15x +72
The answer would be A.