How do you solve a quadratic equation by factoring?

To solve by factoring, express the quadratic in the form $$(px + q)(rx + s) = 0$$ and set each factor to zero to find the values of $$x$$ .

What is the maximum height of a projectile modeled by a quadratic function?

The maximum height can be found by determining the vertex of the quadratic function that models the projectile's height.

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

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

How do you determine the time of flight for a projectile?

The time of flight can be determined by finding the values of $$t$$ when the height function equals zero.

What is the formula for the height of a projectile launched from a height?

The height of a projectile launched from an initial height $$h_0$$ with initial velocity $$v_0$$ is given by $$h(t) = -\frac{1}{2}gt^2 + v_0t + h_0$$ , where $$g$$ is the acceleration due to gravity.

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

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 solve a quadratic equation using square roots?

To solve using square roots, isolate $$x^2$$ on one side and take the square root of both sides, remembering to consider both the positive and negative roots.

What is a real-world application of quadratic equations?

Quadratic equations can model various real-world scenarios, such as projectile motion, area optimization, and profit maximization.

Quadratic Applications Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

3.

FLASHCARD QUESTION

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola represents the maximum or minimum point of the quadratic function.

4.

FLASHCARD QUESTION

Front

How do you find the vertex of a quadratic function in standard form?

Back

5.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

6.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

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