The y-intercept is the point (0, 12).
Further explanation
The quadratic function is described by the standard equation
In the equation the value c is the y-intercept of the graph. In other words, the graph passes through the point
We have the quadratic function
Let us configure it to be a standard equation.
Hence, we get
We identify the coefficients a, b, and c. For this equation,
So, the y-intercept of the quadratic function f(x) = (x – 6)(x – 2) is (0, c), i.e., the point
Note:
The graph of a quadratic function is called a parabola.When a > 0, the parabola opens upward, resulting in a vertex that is a minimum.When a < 0, the parabola opens downward, resulting in a vertex that is a maximum.From
we get x-intercepts at
The axis of symmetry is the line that passes through the vertex of parabola with equation
The vertex is
where
Learn moreA line that is not parallel to either the x-axis or the y-axis The equation of the line, in slope-intercept form, that is parallel to the given line and passes through the point The midpoint
Keywords: the y-intercept of the quadratic function, f(x) = (x – 6)(x – 2), the point (0, 12), a standard equation, the x-intercept, the axis of symmetry, the vertex, parabola, upward, downward