Question

Convert into vertex form. Give the vertex.
y = 3x² – 24x + 46

Answer 1

Here you go! Hope this helps!!!

Answer 2

Vertex form:
`y = 3(x - 4)^2 - 2`

Vertex: (4, -2)

Explanation:

Hello!

We have to complete the square, and then simplify.

Solve:

• 
  `y = 3x^2 - 24x + 46`
• 
  `y = 3(x^2 - 8x) + 46`
  Take the coefficient of the second term, divide it by 2, and square it.
• 
  `y = 3(x^2 - 8x + 16) + 46 - 3(16)`
  Balance your equation by subtracting what you added. Simplify.

• 
  `y = 3(x - 4)^2 - 2`

The equation in vertex form is
`y = 3(x - 4)^2 - 2`

The vertex is (4,-2)

Vertex form

Vertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex.