Question

Which function in vertex form is equivalent to f(x) = x2 + x +1? f(x) = (x + one-quarter) squared + three-quarters f(x) = (x + one-quarter) squared + five-quarters f(x) = (x + one-half) squared + three-quarters f(x) = (x + one-half) squared + five-quarters

Answer 1

Answer:

It's c

Step-by-step explanation:

E D G E N U I T Y

Answer 2

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

x² + x + 1 ← to obtain vertex form use metod of completing the square

To complete the square

add/ subtract (half the coefficient of the x- term )² to x² + x

x² + 2($\frac{1}{2}$)x + $\frac{1}{4}$ - $\frac{1}{4}$ + 1

f(x) = (x + $\frac{1}{2}$)² + $\frac{3}{4}$ ← in vertex form