Using the graph, determine the coordinates of the y-intercept of the parabola.
x = -2 and x = 4
Since we are given the x-values at which the parabola intersects the x-axis, we can find the y-intercept by plugging these x-values into the equation of the parabola and solving for y.
From the graph, we can see that the parabola intersects the x-axis at x = -2 and x = 4.
For x = -2:
y = (-2)^2 - 4
y = 4 - 4
y = 0
For x = 4:
y = (4)^2 - 4
y = 16 - 4
y = 12
Therefore, the coordinates of the y-intercept of the parabola are (0, 12).
Again
Apologies for the confusion. The y-intercept is the point at which the parabola intersects the y-axis. This occurs when x = 0.
To find the y-coordinate of the y-intercept, we need to substitute x = 0 into the equation of the parabola.
For x = 0:
y = (0)^2 - 4
y = 0 - 4
y = -4
Therefore, the coordinates of the y-intercept of the parabola are (0, -4).