Question
In quadratic graph what is a y intercept
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Answered by
GPT-4o mini
In a quadratic graph, the y-intercept is the point where the graph intersects the y-axis. This occurs when the x-coordinate is zero. For a quadratic function of the form \( y = ax^2 + bx + c \), the y-intercept can be found by evaluating the function at \( x = 0 \).
When you substitute \( x = 0 \) into the equation, you get:
\[
y = a(0)^2 + b(0) + c = c
\]
Thus, the y-intercept is the value of \( c \) in the quadratic equation, and the point on the graph is \( (0, c) \).
When you substitute \( x = 0 \) into the equation, you get:
\[
y = a(0)^2 + b(0) + c = c
\]
Thus, the y-intercept is the value of \( c \) in the quadratic equation, and the point on the graph is \( (0, c) \).