The coordinates of the vertex are (1.5, 1.75) and the axis of symmetry is at x = 1.5.
We can find the vertex by using the formula for finding x-coordinates. The formula for the x-coordinate of a vertex is below.
-b/2a
In this equation, a is the coefficient of the x^2 term (1) and b is the coefficient of the x term (-3). Then we can plug in to find the x term.
-(-3)/2(1)
3/2
1.5
Now that we have this term, we can plug it in for all values of x to find the y term.
x^2 - 3x + 4
1.5^2 - 3(1.5) + 4
2.25 - 4.5 + 4
1.75
Now we know that the vertex is at (1.5, 1.75). Now finding the axis of symmetry is easy because the axis of symmetry in any quadratic is simply x = [x-coordinate of vertex]. So in this case it would be x = 1.5.