Vertex: (4,-1) direct x x=3
Please help someone

The equation is (y + 1)² = 4(x - 4)

Step-by-step explanation:

The equation of the graph of the quadratic equation (Parabola) in standard form is (y - k)² = 4p(x - h), where

∵ The vertex is (4, -1)

∴ h = 4 and k = -1

∵ The directrix is at x = 3

∵ The directrix is at x = h - p

∴ h - p = 3

→ Substitute the value of h to find the value of p

∵ 4 - p = 3

→ Subtract 4 from both sides

∴ 4 - 4 - p = 3 - 4

∴ - p = -1

→ Divide both sides by -1

∴ p = 1

→ Substitute the values of h, k, and p in the form of the equation above

∵ (y - -1)² = 4(1)(x - 4)

∴ (y + 1)² = 4(x - 4)

∴ The equation is (y + 1)² = 4(x - 4)

2 5/8 is the final answer! : )