10^2 - 8^2
= 100 - 64
= 36
LM = √36 = 6
answer
LM = 6
Answer:
The graph increases if the line goes upwards. (The end of the segment is above the start of the segment)
The graph decreases if the line goes downwards. (The end of the segment is below the start of the segment)
The graph is constant if the line is horizontal. (The end of the segment is at the same height as the start of the segment)
Then:
The graph of the function is increasing in the segments c and e.
The graph of the function is decreasing in the segments a and f.
The graph of the function is constant in the segments b and d.
Answer: 
<u>Step-by-step explanation:</u>
The vertex form of a parabola is y = a(x - h)² + k or x = a(y - k)² + h
- p is the distance from the vertex to the focus
- -p is the distance from the vertex to the directrix
1) y = -2(x - 4)² - 1 → a = -2 (h, k) = (4, -1)
*******************************************************************************************
2) x = (y - 1)² + 2 → a = 1 (h, k) = (2, 1)
Answer:
<h3>
f(x) = 2(x - 6)² - 3 </h3>
Step-by-step explanation:
f(x) = a(x - h)² + k ← vertex form of parabola equation with vertex (h, k)
So:
f(x) = a(x - 6)² + (-3)
f(x) = a(x - 6)² - 3 ← vertex form of our parabola equation
Parabola goes through (8, 5) so if x=8 then f(x)=5
5 = a(8-6)² - 3
5 +3 = a(2)² - 3 +3
8 = 4a
a = 2
That means, the equation of a parabola with vertex (6, -3) and passing through the point (8, 5):
f(x) = 2(x - 6)² - 3
