Graph the function f(x)=8x2–6

Question

Graph

Answer 1

Here is a Desmos graph:

https://www.desmos.com/calculator/6llw41prgg

If you have additional questions, please ask in the comments.

Answer 2

Assume your equation is f(x) = 8x² - 6.

It's a parabola that opens upwards with a vertex at -b/2a,= -0/16 = 0 (axis of symmetry) when x = 0, y = -6.

Solving for the zeroes: 8x² - 6 = 0. Divide by 2: 4x² - 3 = 0 Add 3 to both sides.

4x² = 3 Divide both sides by 4

x² = 3/4 Take square root of both sides

x = ±√3/4, or ± 0.866.

You could create a table with two columns: one for values of x and the other for y (or f(x)) and plot the results on graph paper. Because the "a" term is 8, it's a very narrow parabola, so you'll need small values of x.