Question

40 Points? Solve & Explain

Answer 1

Answer:

(-1, 17)

Step-by-step explanation:

Answer 2

Answer:

(-1, 17)

Step-by-step 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