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1 What does the discriminant tell us? The number and type of solutions The axis of symmetry The maximum or minimum The y-intercept

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1 What does the discriminant tell us?
The number and
type of solutions
The axis of
symmetry
The maximum or
minimum
The y-intercept

1 What does the discriminant tell us? The number and type of solutions The axis of symmetry The maximum or minimum The y-intercept

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LeonieElite · Tutor for 8 years

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The discriminant of a quadratic equation in the form \(ax^2 + bx + c = 0\) is given by the expression \(b^2 - 4ac\). It provides information about the nature of the roots of the equation without actually solving it. Here's what the discriminant tells us:1. If the discriminant is positive (\(b^2 - 4ac > 0\)), there are two distinct real roots.2. If the discriminant is zero (\(b^2 - 4ac = 0\)), there is exactly one real root (also known as a repeated or double root).3. If the discriminant is negative (\(b^2 - 4ac < 0\)), there are no real roots; instead, there are two complex roots which are conjugates of each other.The discriminant does not directly provide information about the axis of symmetry, the maximum or minimum of the quadratic function, or the \(y\)-intercept. However, it is indirectly related to these features because the nature of the roots influences the graph of the quadratic function.**The accurate answer is: The number and type of solutions.**
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