What is the formula for the sum of an arithmetic series?

The sum S of the first n terms is given by $$S_n = \frac{n}{2}(a + l)$$ , where a is the first term and l is the last term.

What is the quadratic formula?

The solutions to the equation $$ax^2 + bx + c = 0$$ are given by $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What is the vertex form of a quadratic function?

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

What is the difference between domain and range?

Domain is the set of all possible input values (x), while range is the set of all possible output values (f(x)).

What is a reflection in the context of graph transformations?

A reflection flips the graph over a specified axis, such as the x-axis or y-axis.

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

The leading coefficient determines the direction of the graph's opening (upward or downward) and affects the end behavior.

What is the relationship between the roots and the factors of a polynomial?

If r is a root of the polynomial, then (x - r) is a factor of the polynomial.

What is the purpose of completing the square in quadratic equations?

Completing the square allows us to rewrite a quadratic in vertex form, making it easier to analyze and solve.

HM2: OPTIONAL Fall Final Review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

Back

Reflect across the x-axis, translate left 3 units, translate down 2 units.

2.

FLASHCARD QUESTION

Front

Back

45

3.

FLASHCARD QUESTION

Front

Find the value of x in the equation: 2x + 3 = 15.

Back

9

4.

FLASHCARD QUESTION

Front

Back

Domain: all real numbers except x = 0; Range: all real numbers except y = 0.

5.

FLASHCARD QUESTION

Front

What is the equation of the graph that opens downwards with vertex at (1, 3) and a vertical stretch of 2?

Back

y = -2|x - 1| + 3.

6.

FLASHCARD QUESTION

Front

What does it mean for a function to be even?

Back

7.

FLASHCARD QUESTION

Front

What does it mean for a function to be odd?

Back

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