Answer: OPTION B
Step-by-step explanation:
The red graph depicts the fundamental form of a quadratic function (the most basic version), with its vertex located at the origin.
The function g(x) results from moving the parent function 2 units to the right and 1 unit upwards.
As a consequence, considering this, the transformation takes the following structure:
The horizontal displacement is dictated by the value of h, while the vertical shift is determined by k.
<pThus, the resulting function is:
When the present value and number of periods remain the same, but the interest rate is reduced, this results in decreased monthly payments required. Thus, option a) decrease the monthly payment stands true. Monthly payments will rise if the interest rate increases, and they cannot be erased.
A(w) = -w² + 100w
Step-by-step explanation: Initially, we need to express the length (l) of the rectangular area in terms of the width (w). Given that the total perimeter of the rectangle is 200 feet implies that 2(w + l) = 200, leading to l = 100 - w. Hence, the area A can be given as width multiplied by length: A = w * l = w * (100 - w) = -w² + 100w. Consequently, A(w) = -w² + 100w.
Let’s consider the curve: r(t) = t²i +(int)j + 1/t k
X = t², y = int,z = 1/t
Utilizing x = t² and z = 1/t
X = (1/z)²
Xz² = 1
Now using y = int and z= 1/t
Y = in│1/z│
By using x = t² and y = int
Y = int = in(√x)
Thus, the resulting surfaces are,
Xz² = 1
Y = in│1/z│
Y= in(√x)
