Question

1.) Which function in vertex form is equivalent to f(x) = x2 + x +1?

f(x) = [x + 1/4]2 + 3/4
f(x) = [x + 1/4]2 + 5/4
f(x) = [x + 1/2]2 + 3/4
f(x) = [x + 1/2]2 + 5/4

Answer 1

Hello,

Answer C

x²+x+1=(x²+2*1/2*x+1/4)+1-1/4=(x+1/2)²+3/4

Answer 2

The vertex form of the function f(x) = x² + x +1 is f(x) = (x + 1/2)² + 3/4

The vertex form of a quadratic equation is:

f(x) = a(x - h)² + k

where a, h and k are constants

Given the function f(x) = x² + x +1, representing in vertex form:

f(x) = x² + x +1

f(x) = x² + x + 1/4 - 1/4 +1

f(x) = (x + 1/2)² + 3/4

The vertex form of the function f(x) = x² + x +1 is f(x) = (x + 1/2)² + 3/4

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