What is the vertex of a parabola given by the function $$f(x) = ax^2 + bx + c$$ ?

The vertex of the parabola can be found using the formula $$(h, k)$$ where $$h = -\frac{b}{2a}$$ and $$k = f(h)$$ .

What is the formula for the area of a circle?

The area of a circle is given by the formula $$A = \pi r^2$$ , where $$r$$ is the radius.

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

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

What is the standard form of a quadratic function?

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

What does it mean for a function to be quadratic?

A function is quadratic if it can be expressed in the form $$f(x) = ax^2 + bx + c$$ , where $$a \neq 0$$ .

What is the formula for the distance between two points in a coordinate plane?

The distance between two points $$(x_1, y_1)$$ and $$(x_2, y_2)$$ is given by the formula $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ .

What is the equation of a line in slope-intercept form?

The equation of a line in slope-intercept form is given by $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

What is the concept of a function in mathematics?

A function is a relation that assigns exactly one output for each input, often expressed as $$f(x)$$ .

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

The vertex of a quadratic function represents the maximum or minimum point of the parabola, depending on the direction it opens.

RETAKE Unit 2 Part 1 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the general equation of a circle in the Cartesian plane?

Back

2.

FLASHCARD QUESTION

Front

How do you find the roots of a quadratic function?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

What is a matrix and how is it represented?

Back

6.

FLASHCARD QUESTION

Front

What is the inverse of a matrix?

Back

7.

FLASHCARD QUESTION

Front

How do you solve a system of linear equations using matrices?

Back

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