Solve using the Quadratic Formula: $$-8x^2 - 6x - 4 = 1$$

$$x = \frac{-3 - i\sqrt{31}}{8}, x = \frac{-3 + i\sqrt{31}}{8}$$ .

What is the vertex form of a quadratic equation?

The vertex form of a quadratic equation is $$y = a(x - h)^2 + k$$ , where (h, k) is the vertex of the parabola.

What is the axis of symmetry for a quadratic function?

The axis of symmetry for a quadratic function given by $$y = ax^2 + bx + c$$ is given by the formula $$x = -\frac{b}{2a}$$ .

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$ax^2 + bx + c = 0$$ , where a, b, and c are constants and a ≠ 0.

How do you determine if a quadratic function opens upwards or downwards?

A quadratic function opens upwards if the coefficient a > 0 and downwards if a

What is the significance of the vertex in a quadratic function?

The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

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

For a quadratic equation $$ax^2 + bx + c = 0$$ , the sum of the roots is given by $$-\frac{b}{a}$$ and the product of the roots is given by $$\frac{c}{a}$$ .

What is the quadratic formula used for?

The quadratic formula is used to find the roots (solutions) of a quadratic equation.

Quadratic Formula

Flashcard

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

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

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FLASHCARD QUESTION

Front

What is the Quadratic Formula?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation indicate?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

What is completing the square?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

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

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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