Question

Graph the parabola.

Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.

Answer 1

The graph showing the points are attached

The vertex is (2, 1)

Two points on the left of the vertex are (1, 4) and (0, 16)

Two points on the right of the vertex are (3, 4) and (4, 13)

How to five the five points

The points are solved by substituting to the equation

y = 3 (x - 2)² + 1

From the equation, we deduce that the vertex is (2, 1)

two points to the left of the vertex: x = 1 and 0

y = 3 (1 - 2)² + 1 = 4, (1, 4)

y = 3 (x - 2)² + 1 = 13 (0, 13)

two points to the right of the vertex: x = 3 and 4

y = 3 (3 - 2)² + 1 = 4, (3, 4)

y = 3 (4 - 2)² + 1 = 13 (4, 13)