Question

What is the vertex form of the parabola whose standard form equation is `y=5x^2-30x+49`?

Answer 1

The vertex is `=(3,4)`

Explanation:

Let's rewrite the equation and complete the squares

`y=5x^2-30x+49= 5(x^2-6x)+49`
`=5(x^2-6x+9)+49-45`
`=5(x-3)^2+4`

graph{5x^2-30x+49 [-12.18, 13.14, -0.18, 12.47]}