What are the x-intercepts of a quadratic function?

The x-intercepts are the points where the graph of the quadratic function crosses the x-axis, found by solving the equation $$ax^2 + bx + c = 0$$ .

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

The leading coefficient (a) determines the direction of the parabola: if a > 0, the parabola opens upwards; if a

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.

How do you find the y-intercept of a quadratic function?

The y-intercept of a quadratic function is found by evaluating the function at x = 0, which gives the value of c in the standard form $$y = ax^2 + bx + c$$ .

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

The sum of the roots (p + q) is equal to $$-\frac{b}{a}$$ and the product of the roots (pq) is equal to $$\frac{c}{a}$$ .

What is a perfect square trinomial?

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as $$(x + a)^2 = x^2 + 2ax + a^2$$ .

How do you solve a quadratic equation by factoring?

To solve by factoring, rewrite the quadratic equation in factored form $$(x - p)(x - q) = 0$$ and then set each factor equal to zero to find the solutions x = p and x = q.

What is the quadratic formula?

The quadratic formula is a method for solving quadratic equations, given by $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

Quadratics Flashcard 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 are the solutions of a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic equation?

Back

4.

FLASHCARD QUESTION

Front

What is the discriminant in a quadratic equation?

Back

5.

FLASHCARD QUESTION

Front

How do you complete the square for a quadratic equation?

Back

6.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

7.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

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