Quadratics

X-Intercepts or Zeroes

The point where the graph crosses the X Axis

 

To understand how to find the X Intercept or Zeros, you have to understand that the coordinate for the X Intercept will always be 0 (x,0). 

 

Now we know this, we know that to find the X Intercept, the Y value in the equation of the parabola must be 0 

y = a (x+h)²+k

 

For more demonstrations and a more detailed explanations watch:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Question

 

If the equation of the parabola is y = (x+3)²-4, what are the 2 X Intercepts?

 

 

 

 

 

 

 

 

 

Solution

 

y = (x+3)²-4

0=(x+3)²-4

sqrt(4)= sqrt(x+3)²

 

2 = x+3           -2=x+3

              OR

-1=x                -5=x