The y-intercept of the graph is the point where
the function crosses the y-axis. The x-value is equal to zero for every point on the
y-axis.
1. Substitute x = 0 into the given function: y =
(0)^2 - 3(0) + 2 = 0 - 0 + 2 = 2. Therefore the y-intercept is at the point (0,
2).
The x-intercept of the graph is the point where the
function crosses teh x-axis. The y-value is equal to zero for every point on the
x-axis.
2. Substitute y = 0 into the given function: 0 =
x^2 - 3x + 2.
Since this is a quadratic function we can
factor the equation or use the quadratic formula.
3. 0 =
x^2 - 3x + 2 (Need to find the factors of 2 whose sum is equal to -3). (-2) x
(-1) = 2 and (-2) + (-1) = -3, so:
0 = (x - 2) (x -
1)
0 = x - 2 and 0 = x - 1 Solve both
equations for x.
+ 2 + 2 + 1
+1
2 = x and 1 = x
The
x-intercepts are at 1 and 2, so the coordinates are (1, 0) and (2,
0).
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