Question

Graph y = x² + 1 by plotting the points for x = -1,0, 1 and drawing the curve.

Answer 1

Answer: The points are

(-1,2)

(0,1)

(1,2)

The graph is below

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Explanation:

The idea is to replace x with the values mentioned (one at a time) and find the paired y value

For example, if x = -1, then...

y = x² + 1

y = (-1)² + 1

y = 1 + 1

y = 2

So (-1,2) is one point on the parabola. Follow similar steps to find the other points (0,1) and (1,2)

I used GeoGebra to make the graph shown below.