Question

Express the function y = 2x^2 + 8x + 1 in vertex form.

Answer 1

Your answer in Vertex Form :
y = 2(x+2)^2-7

Answer 2

Answer: The vertex form of the given function is
`y=2(x+2)^2-7.`

Step-by-step explanation: We are given to express the following function in vertex form.

`y=2x^2+8x+1~~~~~~~~~~~~~~~~~~~~(i)`

We know that the vertex form of a quadratic function
`y=ax^2+bx+c` is given by

`y=a(x - h)2+k,` where (h, k) is the vertex.

From equation (i), we have

`y=2x^2+8x+1\\\\\Rightarrow y=2(x^2+4x+4)-8+1\\\\\Rightarrow y=2(x+2)^2-7.`

Thus, the vertex form of the given function is
`y=2(x+2)^2-7.`