Intercepts are super important when we look at parabolas because they give us key details about quadratic functions. Let’s break it down:
X-Intercepts: These are the points where the parabola crosses the x-axis. They help us find the values of (x) that make the function equal to zero ((y = 0)).
For example, if the intercepts are at (x = 2) and (x = -3), we can say the function can be written as (y = (x - 2)(x + 3)).
Y-Intercept: This is the point where the parabola meets the y-axis. This happens when (x = 0). It tells us what the value of the function is when (x) is zero.
For instance, if the y-intercept is (y = 6), then we have the point ((0, 6)).
Knowing about these intercepts helps us understand the shape and position of the graph. It shows us which way the parabola is facing and where it is located.
Intercepts are super important when we look at parabolas because they give us key details about quadratic functions. Let’s break it down:
X-Intercepts: These are the points where the parabola crosses the x-axis. They help us find the values of (x) that make the function equal to zero ((y = 0)).
For example, if the intercepts are at (x = 2) and (x = -3), we can say the function can be written as (y = (x - 2)(x + 3)).
Y-Intercept: This is the point where the parabola meets the y-axis. This happens when (x = 0). It tells us what the value of the function is when (x) is zero.
For instance, if the y-intercept is (y = 6), then we have the point ((0, 6)).
Knowing about these intercepts helps us understand the shape and position of the graph. It shows us which way the parabola is facing and where it is located.