Question

40 Points? Solve & Explain

Answer 1

(-1, 17)

Explanation:

Answer 2

(-1, 17)

Explanation:

The vertex form of a quadratic equation:

`y=a(x-h)^2+k`

(h, k) - vertex

`y=x^2+2x+18`

`y=x^2+2(x)(1)+1^2-1^2+18` use (a + b)² = a² + 2ab + b² (*)

`y=\underbrace{x^2+2(x)(1)+1^2}_((*))-1+18`

`y=(x+1)^2+17\\\\y=(x-(-1))^2+17`

h = -1, k = 17