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Question

How do you find the x-intercepts of a quadratic function?


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Solution

x-intercept of function:

A quadratic function is one of the general form:
y=ax2+bx+c

where a,bandcare real numbers.

The quadratic function is an upward or downward-shaped PARABOLA.

To find the x-intercepts one must put y=0;
It will give a second-degree equation.

0=ax2+bx+c
By solving this equation two values of x (x1 and x2) that together with y=0 will give the intercepts:
Intercept 1: x1,0
intercept 2: x2,0


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