Answer:
Vertex form: [tex]y = 3(x - 4)^2 - 2[/tex]
Vertex: (4, -2)
Step-by-step explanation:
Hello!
We have to complete the square, and then simplify.
Solve:
- [tex]y = 3x^2 - 24x + 46[/tex]
- [tex]y = 3(x^2 - 8x) + 46[/tex]
Take the coefficient of the second term, divide it by 2, and square it. - [tex]y = 3(x^2 - 8x + 16) + 46 - 3(16)[/tex]
Balance your equation by subtracting what you added. Simplify.
- [tex]y = 3(x - 4)^2 - 2[/tex]
The equation in vertex form is [tex]y = 3(x - 4)^2 - 2[/tex]
The vertex is (4,-2)
Vertex form
Vertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex.
