$Plug \ in \ x+3 \ into \ f(x) \ to \ get \ g(x)
\\\ g(x) = (x+3)^2-2(x+3)+6
\\\ g(x)= x^2+6x+9 -2x-6+6
\\\ g(x) = x^2+4x+9
\\\ -\frac{b}{2a} --\ \textgreater \ vertex
\\\ \frac {-4}{2}
\\\ x \ coordinate = -2, plug \ it \ back \ into \ g(x)
\\\ (-2)^2+4(-2)+9
\\\ 4-8 + 9
\\\ y \ coordinate = 5
\\\ \boxed{(-2,5)}$

5 0

3 years ago

What’s the distance between (8,-5 ) and (6,4)

Ierofanga [76]

Answer:

Step-by-step explanation:

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(6-8)^2+(4+5)^2

d^2=4+81

d^2=85

d=(85)^(1/2)

d=9.22 (rounded to nearest hundredth)

6 0

3 years ago

Read 2 more answers

What is 283+t 748-235+7493-7

WARRIOR [948]

Answer:

t^748+7534

Step-by-step explanation:

8 0

3 years ago