Question

Write an equation of the parabola in intercept form.

Given points: (-2, 0), (2, 0), (1, -2)

Answer 1

To find the equation of a parabola in intercept form given the points (-2, 0), (2, 0), and (1, -2), we need to determine the x-intercepts and the y-intercept.

Step-by-step explanation:

To find the equation of a parabola in intercept form given the points (-2, 0), (2, 0), and (1, -2), we need to determine the x-intercepts and the y-intercept.

First, we know that the parabola passes through the x-axis at x = -2 and x = 2, so the x-intercepts are -2 and 2.

Second, we know that the parabola passes through the y-axis at y = 0, so the y-intercept is 0.

Therefore, the equation of the parabola in intercept form is y = a(x + 2)(x - 2).