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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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
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
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).
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
The discriminant is zero
The answer for this question is 0
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
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
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