Question

Extra points!!no links tho

given the function f(x)=x^2+10x+20

a.state whether the vertex represents a maximum or a minimum point for your function. explain your answer

b.rewrite f(x) in vertex form by completing the square

Answer 1

a. the vertex represents a minimum point

b. f(x) = (x + 5)² - 5

Explanation:

a.

a = 1 > 0 ← that means the parabola opens up, so the vertex is minimum of the function

b.

`f(x)=x^2+10x+20\\\\f(x)=\underline{x^2+10x+25} - 25+20\\\\f(x)=(x+5)^2-5`