The equation of the quadratic function graphed is: x = 1/4 (y - 4)² - 3
How to write the equation
Quadratic equation in standard vertex form si
x = a(y - k)² + h
The vertex
v (h, k) = (-3, 4)
plugging into the equation
x = a(y - 4)² - 3
The graph passed through (-2, 6) we use it to solve for a
x = a(y - 4)² - 3
-2 = a(6 - 4)² - 3
-2 + 3 = a (2)²
4a = 1
a = 1/4
Plugging in the values we have the equation
x = 1/4 (y - 4)² - 3