What is the x and y intercepts of 9x squared plus 12x plus 4?

Answer 1

If y = 9x2 + 12x + 4

Then the y intercept will be when x = 0, which is 4:

y = 9(0)2 + 12(0) + 4

y = 0 + 0 + 4

y = 4

The x intercept will happen when y = 0, which we can work out by finding factors of the equation and determining x values that give us a zero y value:

9x2 + 12x + 4 = 0

9x2 + 6x + 6x + 4 = 0

3x(3x + 2) + 2(3x + 2) = 0

(3x + 2)(3x + 2) = 0

(3x + 2)2 = 0

3x + 2 = 0

3x = -2

x = - 2/3

So the x intercept is at -2/3 and the y intercept is at 4.