Answer:
Explanation:
The graph of this is a parabola.
One way to do it is to first convert to vertex form
y = x^2 - 4x + 2
= (x - 2)^2 - 4 + 2
= (x - 2)^2 - 2.
So there is a minimum point at (2, -2)
( its a minimum because the coefficient of x^2 is positive (+1).
The graph will be symmetrical about the vertical line x = 2.
Also when x = 0, y = (-2)^2 - 2 = 2, so the graph passes through (0, 2) on y-axis.
Now we find the points where the graph passes through the x-axis.
(x - 2)^2 - 2. = 0
(x - 2)^2 = 2
x-2 = +/- √2
x = 2 +/- √2
= 3.41 and o.59
These are the points (0.59), 1) and (3.41, 0).
So the graph passes through these points.
So we have 4 points which are on the graph and we know its symetrical about the line x = 2, so we can sketch it . Its shaped a little like a U.