What does it mean for a graph to shift left or right?

A graph shifts left when the input variable is replaced by $$(x + h)$$ , where h > 0. It shifts right when replaced by $$(x - h)$$ , where h > 0.

How do you simplify a radical expression?

To simplify a radical expression, factor the radicand into its prime factors, and then apply the property that $$\sqrt[n]{a^n} = a$$ for whole numbers.

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

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

What is a transformation in the context of functions?

A transformation refers to changes made to the graph of a function, including shifts, stretches, compressions, and reflections.

What is the purpose of factoring a polynomial?

Factoring a polynomial allows us to find its roots, simplify expressions, and solve equations more easily.

What is the difference between a linear function and a quadratic function?

A linear function has the form $$f(x) = mx + b$$ and graphs as a straight line, while a quadratic function has the form $$f(x) = ax^2 + bx + c$$ and graphs as a parabola.

How do you determine the maximum or minimum value of a quadratic function?

The maximum or minimum value of a quadratic function in vertex form $$f(x) = a(x-h)^2 + k$$ occurs at the vertex (h, k). If a > 0, it is a minimum; if a

What is the importance of the y-intercept in a function?

The y-intercept of a function is the point where the graph intersects the y-axis, representing the value of the function when $$x = 0$$ .

Algebra: Concepts and Connections EOC Review 3 Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

How do you find the zeros of a quadratic function?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

What does it mean for a function to be 'stretched' or 'compressed' vertically?

Back

4.

FLASHCARD QUESTION

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the 'common difference'.

Tags

CCSS.HSF.BF.A.2

5.

FLASHCARD QUESTION

Front

How do you write the nth term of an arithmetic sequence?

Back

Tags

CCSS.HSF.BF.A.2

6.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSA-REI.B.4B

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