We are asked to determine the opening of the graph of the given equation y² + 16y - 4x + 4= 0. To answer this problem, we need to transform the equation into the standard form where all variable y and variable x are in opposite side such as shown below:
y² + 16y - 4x + 4 = 0
y² + 16y = 4x - 4
y² + 16y + 64 = 4x - 4 +64
(y + 8)² = 4x + 60
Then, the graph opens to the right.
Chaz is correct because will's amount of money that is negative from the checking account is more than Chaz's so therefore will owes more money
Answer: The equation is y = 0.25/(x - 4) + 3
Step-by-step explanation:
If we have a function y = f(x)
A compression means that we multiply the function by a factor smaller than 1.
Then the vertical compression by a factor of 0.25 is:
y = 0.25*f(x)
a translation by A units to the right, means that we need to valuate the function in x - A.
So now we have:
y = 0.25*f(x - 4)
A translation in the y-axis means that we need to add a constant to the equation, then if we tralate it by 3 units up, we have:
y = 0.25*f(x - A) + 3
Then, if f(x) = 1/x
Our new equation is:
y = 0.25/(x - 4) + 3
Answer: 42 minutes
Step-by-step explanation: