What does a zero discriminant indicate?

One real solution (a repeated root).

What does a negative discriminant indicate?

Two complex (imaginary) solutions.

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 Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What does the discriminant tell us?

Back

The number and type of solutions.

Tags

CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

Front

Determine the values of a, b, and c for the quadratic equation: $4x^2-8x=3$

Back

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

3.

FLASHCARD QUESTION

Front

What should you do first in solving the equation $x^2+6x-13=3$ ?

Back

Make it equal 0 by subtracting 3 on each side.

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

Solutions of a quadratic equation are also called?

Back

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

5.

FLASHCARD QUESTION

Front

Evaluate the discriminant for the quadratic equation $-2x^2-x-1=0$ and determine the number and type of solutions.

Back

Discriminant = -7; Two Imaginary Solutions.

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$ .

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

What does a positive discriminant indicate?

Back

Two distinct real solutions.

Tags

CCSS.HSA-REI.B.4B

10.

FLASHCARD QUESTION

Front

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

Back

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

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