What is the meaning of y-intercept? y-intercept is the point where graph cuts y-axis which means x-value at that point is equal to 0.
Therefore, in order to find y-intercept of a given quadratic function, we just put
and find corresponding value of y.
For example, we have quadratic function
, what is the y-intercept of this quadratic function?
putting
, we get
. It means that y-intercept of the graph is
. In other words it means that when you sketch graph of
, it is going to intersect at point
on y-axis.
Similarly, can we find y-intercept of quadratic function which is in the vertex form?
. Putting
, we get
Just to remember that quadratic functions have exact one y-intercept. It cannot have more or less y-intercepts.
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