How do you solve a quadratic equation in the form $$ax^2 + bx + c = 0$$ ?

You can solve it using the quadratic formula: $$x = \frac{-b \text{±} \text{√}(b^2 - 4ac)}{2a}$$ .

What is the vertex form of a parabola?

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

How do you find the x-intercepts of a quadratic function?

To find the x-intercepts, set $$y = 0$$ and solve the equation $$ax^2 + bx + c = 0$$ .

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

The coefficients $$a$$ , $$b$$ , and $$c$$ affect the width, direction, and position of the parabola on the graph.

What does it mean for a quadratic function to be in factored form?

A quadratic function is in factored form when it is expressed as $$y = a(x - r_1)(x - r_2)$$ , where $$r_1$$ and $$r_2$$ are the roots of the equation.

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

A quadratic function opens upwards if $$a > 0$$ and downwards if $$a

What is the axis of symmetry in a parabola?

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation $$x = -\frac{b}{2a}$$ .

What is the maximum or minimum value of a quadratic function?

The maximum or minimum value occurs at the vertex of the parabola, which can be found using the vertex formula.

How do you graph a quadratic function?

To graph a quadratic function, identify the vertex, axis of symmetry, x-intercepts, and y-intercept, then plot these points and draw a smooth curve through them.

Final Exam Review 2: Units 2 & 3 Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the area of a shaded region represented by a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What does it mean for a parabola to have a maximum value?

Back

A parabola has a maximum value when it opens downwards, indicating that the vertex represents the highest point on the graph.

3.

FLASHCARD QUESTION

Front

How do you determine the maximum height of a projectile?

Back

4.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is a factor of a polynomial?

Back

A factor of a polynomial is a binomial that divides the polynomial without leaving a remainder.

7.

FLASHCARD QUESTION

Front

What is the significance of the discriminant in a quadratic equation?

Back

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