Answer: y=2 (x-4)^2 -47
and the vertex is (4,-47)
Step-by-step explanation:
your welcome :)
Answer:
20/50
Step-by-step explanation:
i think
Answer:
y =
(x - 5)² - 2
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (5, - 2), thus
y = a(x - 5)² - 2
To find a substitute (7, 0) into the equation
0 = a(7 - 5)² - 2
0 = 4a - 2 ( add 2 to both sides )
2 = 4a ( divide both sides by 4 )
a =
= ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
y =
(x - 5)² - 2 ← in vertex form
Answer:
1, 5, 17, 53, 161
Step-by-step explanation:
Given:
First five terms of the sequence:
![a_1=1](https://tex.z-dn.net/?f=a_1%3D1)
![a_2=3a_1+2=3(1)+2=5](https://tex.z-dn.net/?f=a_2%3D3a_1%2B2%3D3%281%29%2B2%3D5)
![a_3=3a_2+2=3(5)+2=17](https://tex.z-dn.net/?f=a_3%3D3a_2%2B2%3D3%285%29%2B2%3D17)
![a_4=3a_3+2=3(17)+2=53](https://tex.z-dn.net/?f=a_4%3D3a_3%2B2%3D3%2817%29%2B2%3D53)
![a_5=3a_4+2=3(53)+2=161](https://tex.z-dn.net/?f=a_5%3D3a_4%2B2%3D3%2853%29%2B2%3D161)