Question

Given the vertex and another point, write the equation in vertex form: vertex (2, -5) point (3, -2)

Answer 1

y = 3(x - 2)² - 5

Explanation:

Let the equation of the parabola is,

y = a(x - h)² + k

Here, (h, k) is the vertex of the given parabola.

Since, vertex of the parabola is (2, -5)

Equation of the parabola will be,

y = a(x - 2)²- 5

Since, parabola passes through a point (3, -2),

-2 = a(3 - 2)²- 5

-2 + 5 = a(1)

a = 3

Therefore, equation of the parabola will be,

y = 3(x - 2)²- 5