Brainly doesn't automatically "know" every part of the problems you post here; you have to ensure that your post includes everything in the original problem.
We can still have some fun with answer choice <span>x = 1, x = 3:
An associated quadratic function would have the form y = a(x-1)(x-3). Just supposing that the point (2, 5) were on the graph, then this </span>y = a(x-1)(x-3) would become 5 = a(2-1)(2-3), or 5 = a(1)(-1), or 5 = -a, or a = -5.
Thus, the equation of the parabola would be y = -5(x-1)(x-3), or, in the more usual form, y = -5(x^2 - 4x + 3).
Complete the square to find the vertex:
Steal y = x^2 - 4x + 3 for a moment and complete the square:
x^2 - 4x + 3 = x^2 - 4x + 4 - 4 + 3, or (x-2)^2 - 1
Subbing this back into y = -5(x^2 - 4x + 3), we get
y = -5 [ (x-2)^2 -1 ], or y = -5(x-2)^2 + 5. This shows that the vertex is at (2, 5), that the graph opens downward, and the graph is symm. about the line x = 2.
Having fun yet?
Answer:
1/3
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...
rate of change = (f(b) -f(a))/(b -a)
__
For the given function and interval, this is ...
(log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3
The average rate of change is 1/3.
_____
In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.
<h3>
Answer: Choice D) </h3>
Work Shown:
We must require that 
and 
to avoid having 0 in the denominator. This is why choice D is the answer.
Answer:
A = 900in²
Perimeter 120in
Using the formulas
A = a²
P = 4a
Step-by-step explanation:
Solving for A:
A = 1/16 P² = 1/16 · 120² = 900in²
