Question

Choose the correct equation for the parabola based on the given information. Given: Focus:(4,-3) Vertex: (-2,-3) a. 24(y+3) = (x+2)^2 b. 24(x+2)=(y+3)^2 c. 6(x-4)= (y+3)^2 d. 6(y+3)=(x-4)^2

Answer 1

Answer: b. 24(x + 2) = (y + 3)²

Explanation:

Vertex: (-2, -3)

Focus: (4, -3)

↓

same y-value so equation will be y²

Equation: a(x - h) = (y - k)²

• a = 4p where p is the distance from Vertex to Focus
• h is the x-coordinate of the Vertex
• k is the y-coordinate of the Vertex

Given: h = -2, k = -3, a = 4[4 - (-2)] --> a = 24

Input those values into the equation: 24(x + 2) = (y + 3)²