The standard expression for the parabola is :
y = x² + b
which means, vertex shifted b units along the y xis
Vertex : (0, b)
If b is positive then the parabola moves upward other it move downward
The given data :
The parabola shifted 6 units right and 3 units down
Start the fucntion with y = x²
Shifted 6 units right : i.e.
y = (x - 6)²
3 units down :
y = ( x - 6 )² - 3
So, the equation of parabola is y = ( x - 6 )² - 3
Answer : The equation of parabola is y = ( x - 6 )² - 3
