Question

Write a quadratic equation with the given vertex: 14.(-4,-3) 15. (- 2,1) 16. (3,8)

Answer 1

In order to write a quadratic equation with the given vertex, let's use the vertex form of the quadratic equation:

`y=a(x-h)^2+k`

Where the coordinates of the vertex are (h, k).

So, using a = 1, we have:

14.

`\begin{gathered} (-4,-3)\colon \\ y=(x-(-4))^2+(-3) \\ y=(x+4)^2-3 \end{gathered}`

15.

`\begin{gathered} (-2,1)\colon \\ y=(x-(-2))^2+1 \\ y=(x+2)^2+1 \end{gathered}`

16.

`\begin{gathered} (3,8)\colon \\ y=(x-3)^2+8 \end{gathered}`