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# when solving a quadratic equation by graphing, we find the roots using which of the following?

a. vertex

b. x-intercepts

c. y-intercepts

d. none of the above

X-Intercept is the value of x where cross x axis.
Another name is the zeros of the function, when y is zero, the graph cross the x-axis

If  b^2  - 4ac >0

then find the roots.    if a>0 , then vertex is minimum point

X vertex  is  half way between roots.

Roots are ( X1, X2)        X vertex  = ( X1 + ) / 2, Y intercept is always equal c ,
So having all this information you can plot the curve.

If  b- 4ac <0 , then there is no X intercept, only find the vertex  Xvertex = -b/2a, and Y intercept = c.
If a < 0 , then you do the same , the vertex is maximum.