
Step-by-step explanation:
The vertex form of the equation for a parabola is given by

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

or

Therefore, the equation of the parabola is

Answer:
The value of x = 0.41
Step-by-step explanation:
∵ 
Let 
∴ 
∴ 6y² - 5y = 6
∴ 6y² - 5y - 6 = 0 ⇒ factorize
∴ (3y + 2)(2y - 3) = 0
∴ 3y + 2 = 0 ⇒ 3y = -2 ⇒ y = -2/3
∴ 2y - 3 = 0 ⇒ 2y = 3 ⇒ y = 3/2
∵ 
∴
⇒ refused
(
never gives -ve values)
∵
⇒ insert <em>ln</em> in both sides
∵
⇒ <em>ln</em>(e) <em>= 1</em>
∴
∴ x = ln(3/2) = 0.41
The answer would be the first option!!
A two step equation for what.<span />