write y=x^2+2x+26 in vertex form. Then identify the vertex.

Question

write y=x^2+2x+26 in vertex form. Then identify the vertex.

Answer 1

To write the function in vertex form, we need to complete the square. If we add and subtract 1, we get:

y = x² + 2x + 1 + 26 - 1

y = (x² + 2x + 1) + 25

y = (x+1)² + 25

This is the vertex form of the quadratic function. From it, we see that the vertex is located at (-1,25).