Answer:
<h3>
f(x) = 6(x - 2)² + 3</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
"the parabola opens upward" means: a>0
"the parabola has x = 2 as an axis of symmetry" means: h = 2
so f(x) = a(x - 2)² + k
"the parabola contains the point (1, 9)" means:
9 = a(1 - 2)² + k
9 = a(-1)² + k
9 = a + k
k = 9 - a
"the parabola contains the point (4, 27)" means:
27 = a(4 - 2)² + k
so:
27 = a(2)² + 9 - a
27 = 4a + 9 - a
3a = 18
a = 6
and k = 9 - 6 = 3
Therefore the vertex form for this parabola is:
<u> f(x) = 6(x - 2)² + 3</u>
I’m confused on what the question is exactly
45 new houses.....last month 1/3 were sold....
1/3(45) = 45/3 = 15 houses sold last month
this month, 1/5 of the remaining houses were sold...
remaining houses left are (45 - 15) = 30
1/5(30) = 30/5 = 6 houses sold this month
houses left : 45 - 15 - 6 = 45 - 21 = 24 houses remain <==
Given:
To find:
The correct equivalent equation.
Solution:
We have,
Taking sin on both sides, we get
![[\because \sin (\sin^{-1}\theta )=\theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%20%28%5Csin%5E%7B-1%7D%5Ctheta%20%29%3D%5Ctheta%5D)
Interchanging the sides, we get
Therefore, the correct option is 4.
