Answer:
y-intercept = 9/2 or 4.5
Step-by-step explanation:
In the given quadratic equation, y = x² - 5x + 9/2, where:
a = 1, b = -5, and c = 9/2
The y-intercept is the point at which the parabola crosses the y-axis, and occurs at point (0, c ). It is the value of y when x = 0. To find out what I mean by this, we can substitute the value of x = 0 into the quadratic equation:
y = x² - 5x + 9/2
y = (0)² - 5(0) + 9/2
y = 0 - 0 + 9/2
y = 9/2
Therefore, the y-intercept (c) = 9/2, and has coordinates, (0, 9/2) or (0, 4.5).
Attached is a screenshot of the graph, where it shows the y-intercept.
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