Question

What is the equation, written in vertex form, of a parabola with a vertex of (–2, 6) that passes through (1, –3)?

Answer 1

The equation, written in vertex form, of a parabola with a vertex of (-2, 6) that passes through (1, -3) is y = 0(x-(-2))^2 + 6.

Step-by-step explanation:

The equation, written in vertex form, of a parabola with a vertex of (-2, 6) that passes through (1, -3) can be found using the formula: y = a(x-h)^2 + k. In this equation, (h, k) represents the vertex coordinates. To find 'a', we can use the given point (1, -3). Substitute the coordinates of the vertex and the point into the equation to find 'a'.

Using (-2, 6), we have: 6 = a(-2-(-2))^2 + 6

Simplifying, we get: 0 = a

Therefore, the equation in vertex form is: y = 0(x-(-2))^2 + 6

Answer 2

Step-by-step explanation:

( x - 1 )2 + ( y + 3 )2 = 90