Question

Put the equation y = x2 – 10x + 16 into the form y = (x - h)? + k: Answer: y = > Next Question

Answer 1

The form y = (x - h)² + k is the vertex form of the quadratic equation as (h,k) are the coordinates of the vertex.

We can rearrange the quadratic function to find the vertex form as:

`\begin{gathered} x^2-10x+16 \\ (x^2-2\cdot5x+5^2)-5^2+16 \\ (x-5)^2-5^2+16 \\ (x-5)^2-25+16 \\ (x-5)^2-9 \end{gathered}`

Answer: the vertex form is y = (x-5)²-9