# Write the quadratic function f(x) = x2 + 8x + 3 in vertex form? A) f(x) = (x - 4)2 - 13 B) f(x) = (x - 4)2 + 3 C) f(x) = (x + 4)2 + 3 D) f(x) = (x + 4)2 - 13

##### 1 Answer

#### Explanation:

Given the following function, you are asked to convert it to vertex form:

#f(x)=x^2+8x+3#

The given possible solutions are:

#"A") f(x)=(x-4)^2-13#

#"B") f(x)=(x-4)^2+3#

#"C") f(x)=(x+4)^2+3#

#"D") f(x)=(x+4)^2-13#

**Converting to Vertex Form**

#f(x)=x^2+8x+3#

#f(x)=(x^2+8x)+3#

#f(x)=(x^2+color(blue)8x+(color(blue)8/2)^2)+3#

#f(x)=(x^2+8x+(8/2)^2-(8/2)^2)+3#

#f(x)=(color(violet)1x^2+8x+(8/2)^2)+3-((8/2)^2xxcolor(violet)1)#

#f(x)=(x^2+8x+16)+3-16#

#f(x)=(x^2+8x+16)-13#

#color(green)(|bar(ul(color(white)(a/a)f(x)=(x+4)^2-13color(white)(a/a)|)))#