# If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes

If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
equation?
the discriminant is negative.
the discriminant is -3.
the discriminant is 0.
the discriminant is positive.
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## This Post Has 9 Comments

1. breann6 says:

Discriminant is positive the graph of the quadratic equation will. have 2 x- intercepts ... how do you find the x coordinate of the vertex of a parabola

2. allytrujillo20oy0dib says:

C) The discriminant is 0.

Step-by-step explanation:

Since the graph of the quadratic equation has only one x-intercept, we can conclude that the quadratic has only one real root.

If a quadratic equation has only one real root, then the discriminant is 0

3. ssteitzsophiee111 says:

It is 0.

Step-by-step explanation:

The discriminant will be zero. There will be only one root (multiplicity 2) and the  graph  turning point of the graph of the function just touches the point (-3, 0).

4. jeffreystarks says:

D = 0

Step-by-step explanation:

Given

x-intercept = -3

Required

What does the discriminant represent?

The discriminant of a quadratic function can take any 3 values; these are as follows;

When D > 0 When D < 0When D = 0

Which translates to

signifies that two different real roots existsignifies that only complex roots existsignifies that the two identical real roots exist

The question says that x-intercept = -3 is the only value;

This means that: x = -3 or x = -3

Analyzing the roots

3 and -3 are identical-3 and -3 are real

This means they satisfy condition number 3;

Hence, D = 0

5. harcharikc8275 says:

The discriminant is zero

6. cruzheidy4410 says:

The answer for this question is 0

7. Crxymia says:

The discriminant is 0

Step-by-step explanation:

If b² - 4ac = 0 then the roots are real and equal

Since there is only one x- intercept then this condition applies

8. tydukes10 says:

The discriminant is 0

Step-by-step explanation:

Since the graph of the quadratic equation has only one x-intercept, we can conclude that the quadratic has only one real root.

If a quadratic equation has only one real root, then the discriminant is 0

If x = -3 is the only x-intercept of the graph of a quadratic equation then the discriminant is 0

9. edjiejwi says:

b² - 4ac = 0

Step-by-step explanation:

The nature of the roots of a quadratic equation are determined by the discriminant, that is

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

x = - 3 indicates an equal root, hence b² - 4ac = 0