Raymond B. answered • 08/16/19

Math, microeconomics or criminal justice

Consider a graph with the y-axis as vertical, and the x-axis as horizontal. Treat f(x) as y. You graph y=x^{2}-1

It's the standard parabola, opening upwards, with vertex at the origin,(0,0), but shifted down by one unit, so the vertex is (0,-1).

If you have y=x^{2}-4, it shifts the parabola down by 4 units, so the vertex, the minimum point, is (0,-4)

It shifts the x^{2}-1 parabola down by 3 units to x^{2}-4. Every point on the graph is shifted downward by 3 units from the original graph.

Or shifted down by 4 units from the parabola y=x^{2}

Alternatively, you could think of keeping the parabola in exactly the same position, and shift the x-axis upwards by 3 units

Jannet S.

At the end there, did you mean downwards?08/16/19