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91Ó°ÊÓ

How can you use the discriminant when you are graphing a quadratic function?

Short Answer

Expert verified

We can use discriminant as

if D<0, then graph will not intersect the x-axis.

if D=0, then graph will touch the x-axis at one point.

ifD>0, then graph will intersects thex-axis at two points.

Step by step solution

01

Step 1. Define discriminant.

If quadratic equation is ax2+bx+c=0, then

DiscriminantD=b2-4ac

02

Step 2. Use of the discriminant when you are graphing a quadratic function.

We can use discriminant as

if D<0, then graph will not intersect the x-axis.

if D=0, then graph will touch the x-axis at one point.

if D>0, then graph will intersects the x-axis at two points.

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