Give the x intercepts of the following equation

Question

Give the x intercepts of the following equation, approximate if necessary.

 

y=-3x^2 -1

Answer 1

y = -3x² -1

 

this is a parabola without x intercepts.

 

in general, the  x intercepts will be obtained when y = 0

 

-3x² -1 = 0 

you can see there is no solution for this equation

Answer 2

-3x² - 1 = 0

 

From the quadratic formula,

 

x = {-(0) ± √[(0)² - 4(-3)(-1)]} / [2(-3)]

 

Examine the argument of the square root and note that it is negative:

 

[(0)² - 4(-3)(-1)] = -12 < 0

 

Therefore, there are no real solutions for x that make y = 0, hence there are no real x-intercepts.

Answer 3

There are no x intercepts. The parabola is pointing downward and the vertex is below the x axis.