Question

The graph of y = 2x^2 is shifted 8 units down on a coordinate grid. What are the roots (x-values where y = 0) of the equation that correspond to the new graph?

a) x = 0
b) x = 2
c) x = -2
d) x = ±2

Answer 1

The roots of the equation y = 2x^2 shifted 8 units down are x = ±2.

Step-by-step explanation:

To find the roots of the equation y = 2x^2 shifted 8 units down, we set y equal to 0 and solve for x.
2x^2 - 8 = 0
Dividing both sides by 2, we get
x^2 - 4 = 0
Using the quadratic formula, x = ±√4 = ±2