Which is the graph of f(x) = x2 – 2x + 3?

The parabola has a minimum, the vertex and the y-intercept, you can graph it as you can see in the image attached.

Given ,

Graph of f(x) = .

According to the question,

The graph of a quadratic function is a parabola whose axis of symmetry is parallel to the y -axis. The coefficients a, b, and c in the equation .  

The vertex of the parabola (It is a parabola because the equation is quadratic equation as following.

y =

x = 1

Then ,  

The point of the vertex at x intercept x = 1 , y = 2 (1,2)  .

The sign of a is positive, therefore, the parabola has a minimum.

Substitute x = 0 into the equation to find y-intercept,

y = 3 at x = 0

These are the points on y intercept is (0,3)

The parabola has a minimum, the vertex and the y-intercept, you can graph it as you can see in the image attached.

For more information about the Parabola click the link given below.

link

the answer is a

step-by-step explanation: