Answer:
sqrt((y - 2) / 7) = x - 3
Step-by-step explanation:
To write y = 7(x - 3)^2 + 2 in standard form, we need to move all the constant terms to the right side of the equation and group the x^2 and x terms together on the left side.
First, we can subtract 2 from both sides to get:
y - 2 = 7(x - 3)^2
Then, we can divide both sides by 7 to get:
(y - 2) / 7 = (x - 3)^2
Finally, we can take the square root of both sides to get:
sqrt((y - 2) / 7) = x - 3
This is the equation in standard form, with the x^2 term on the left side and the constant term on the right side.
Here is a summary of the steps:
Move all the constant terms to the right side of the equation.
Group the x^2 and x terms together on the left side.
Divide both sides by the coefficient of the x^2 term.
Take the square root of both sides.