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.

How do you find the vertex of a parabola given in standard form?

The vertex of a parabola given in standard form $$y = ax^2 + bx + c$$ can be found using the formula $$h = -\frac{b}{2a}$$ and then substituting $$h$$ back into the equation to find $$k$$ .

What is the axis of symmetry in a quadratic function?

The axis of symmetry of a quadratic function is a vertical line that passes through the vertex, given by the equation $$x = h$$ , where $$h$$ is the x-coordinate of the vertex.

What are the roots of a quadratic equation?

The roots of a quadratic equation are the values of $$x$$ that make the equation equal to zero, also known as the solutions of the equation.

How do you solve a quadratic equation by the square root method?

To solve by the square root method, isolate the $$x^2$$ term on one side of the equation, then take the square root of both sides and solve for $$x$$ .

What is the significance of the coefficient 'a' in a quadratic equation?

The coefficient 'a' determines the direction of the parabola: if $$a > 0$$ , the parabola opens upwards; if $$a

What is the relationship between the roots and 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 $$\frac{c}{a}$$ .

How do you determine if a quadratic equation has real or complex roots?

To determine if a quadratic equation has real or complex roots, calculate the discriminant $$D = b^2 - 4ac$$ : if D = 0, the roots are real.

Solving Quadratic Equations {All Methods} Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What does the discriminant tell us?

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

How do you solve a quadratic equation by factoring?

Back

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

What is completing the square?

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

When do you use the plus or minus symbol (±)?

Back

You use the plus or minus symbol (±) after taking the square root of both sides of an equation.

Tags

CCSS.HSA-REI.B.4B

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