can i have this one with steps please?

Question

Identify the X and the y intercepts

y=X^2-2

Answer 1

y = x² - 2

 

Y-intercept:

 

x = 0 ⇒ y = -2

 

The y intercept is (0,-2)

 

X-intercept:

 

y = 0 ⇒ x² = 2 ⇒ x = ±√2

 

There are 2 x-intercepts: (√2,0) and (-√2,0)