How is the graph of y = 8x² - 1 different from the graph of y = 8x²

Solution:

Given y = 8x² - 1 and y = 8x²

Let us take a few sample values for x,y and plot the graph for both the functions

The vertical line is the y-axis and the horizontal line is the x-axis

The blue curve(parabola) is the function y = 8x²

And the red curve (parabola) is the function y = 8x² - 1

Hence, clearly, we can see that the graph difference between the two functions is 1 unit shift down.

How is the graph of y = 8x² - 1 different from the graph of y = 8x²

Summary:

The graph difference between the two functions y = 8x² - 1 and y = 8x² is 1 unit shift down.