The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
<h3>How to determine the functions?</h3>
A quadratic function is represented as:
y = a(x - h)^2 + k
<u>Question #6</u>
The vertex of the graph is
(h, k) = (-1, 2)
So, we have:
y = a(x + 1)^2 + 2
The graph pass through the f(0) = -2
So, we have:
-2 = a(0 + 1)^2 + 2
Evaluate the like terms
a = -4
Substitute a = -4 in y = a(x + 1)^2 + 2
y = -4(x + 1)^2 + 2
<u>Question #7</u>
The vertex of the graph is
(h, k) = (2, 1)
So, we have:
y = a(x - 2)^2 + 1
The graph pass through (1, 3)
So, we have:
3 = a(1 - 2)^2 + 1
Evaluate the like terms
a = 2
Substitute a = 2 in y = a(x - 2)^2 + 1
y = 2(x - 2)^2 + 1
<u>Question #8</u>
The vertex of the graph is
(h, k) = (1, -2)
So, we have:
y = a(x - 1)^2 - 2
The graph pass through (0, -3)
So, we have:
-3 = a(0 - 1)^2 - 2
Evaluate the like terms
a = -1
Substitute a = -1 in y = a(x - 1)^2 - 2
y = -(x - 1)^2 - 2
Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
Read more about parabola at:
brainly.com/question/1480401
#SPJ1
Answer:The value of the expression increases as r decreases.
Step-by-step explanation:
To find : What happens to the value of the expression as r decreases?
Given Expression: 80-2r
We check for different value of r as decreasing order,
r 80-2r
5 80-10=70
4 80-8=72
3 80-6=74
2 80-4=76
1 80-2=78
As r decreases the value of expression increases.
Therefore, the value of the expression increases as r decreases.
Hope this helps!
Answer:
5/6 hours
Step-by-step explanation:
Create a proportion where x is the number of hours it will take to walk 1/6 of a mile:
= 
Cross multiply and solve for x:
1/5x = 1/6
x = 5/6
So, it will take the tortoise 5/6 hours to walk 1/6 of a mile
Step-by-step explanation:
area of sector =x°/360×π×r²
1unit²=x°/360×π×45²
360=x°×π×2025
i think this is your answer.
The limit does not exist at the jump discontinuity at <em>x</em> = -2.
From the left, the green-ish curve approaches 4; from the right, the orange curve approaches 6. These one-sided limits are not equal, so the two-sided limit does not exist.
