Question

Equation of the plane crash: y=-3(x-1)^2+3

Answer the following questions in one sentence in a 6th graders response :

What is the vertex of the graph?

What does the vertex mean? (what is the highest point on the graph and what distance does it reach it?)


What distance does the plane crash hit the ground?

Answer 1

The vertex of the graph is (1, 3).

The vertex is the highest point of the parabola, so the plane reaches a maximum height of 3 units when it is at x = 1.

The plane hits the ground where y = 0, which is at x = 0 and x = 2, so if it started at x = 0 it lands 2 units away at x = 2.