What does a zero discriminant indicate?

One real solution (a repeated root).

What does a negative discriminant indicate?

Two complex (imaginary) solutions.

In the quadratic equation $$ax^2 + bx + c = 0$$ , what do a, b, and c represent?

a = coefficient of $$x^2$$ , b = coefficient of $$x$$ , c = constant term.

How do you find the vertex of a parabola given by $$y = ax^2 + bx + c$$ ?

Vertex x-coordinate = $$-\frac{b}{2a}$$ .

What is the axis of symmetry for the parabola given by $$y = ax^2 + bx + c$$ ?

Axis of symmetry: $$x = -\frac{b}{2a}$$ .

What is the significance of the y-intercept in a quadratic equation?

The y-intercept is the value of $$y$$ when $$x = 0$$ .

How can you determine if a quadratic opens upwards or downwards?

If $$a > 0$$ , it opens upwards; if $$a

What is the relationship between the roots of a quadratic equation and its factors?

The roots are the values of $$x$$ that make the equation equal to zero, corresponding to the factors of the quadratic.

Quadratic Formula and Discriminant Review

Flashcard

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA-REI.B.4B, HSF-IF.C.7A

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What does the discriminant tell us?

Back

The number and type of solutions.

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

a=4, b=-8, c=-3.

FLASHCARD QUESTION

Front

Back

Make it equal 0 by subtracting 3 on each side.

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Solutions of a quadratic equation are also called?

Back

All of the above (roots, x-intercepts, zeros).

FLASHCARD QUESTION

Front

Back

Discriminant = -7; Two Imaginary Solutions.

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

What does a positive discriminant indicate?

Back

Two distinct real solutions.

Tags

CCSS.HSA-REI.B.4B

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