What does the 'a' value in the quadratic function affect?

The 'a' value affects the direction and width of the parabola.

What is the axis of symmetry for a quadratic function?

The axis of symmetry is given by the formula $$x = -\frac{b}{2a}$$ .

What is the definition of a function?

A function is a relation that assigns exactly one output for each input.

What is the difference between even and odd functions?

Even functions are symmetric about the y-axis, while odd functions are symmetric about the origin.

What is the domain of the square root function?

The domain is all non-negative real numbers, i.e., $$x \geq 0$$ .

What is the range of the absolute value function?

The range is all non-negative real numbers, i.e., $$y \geq 0$$ .

What is the transformation of a function when it is shifted up by 3 units?

The transformation is represented as $$f(x) + 3$$ .

What is the effect of a negative sign in front of a function?

A negative sign reflects the graph across the x-axis.

FINAL REVIEW Precalc Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the equation of a square root function with an x-axis reflection?

Back

2.

FLASHCARD QUESTION

Front

What type of symmetry do mother cubic functions have?

Back

Mother cubic functions have origin symmetry.

3.

FLASHCARD QUESTION

Front

What is the equation of the absolute value function shifted to the right 5 units?

Back

4.

FLASHCARD QUESTION

Front

What is the equation of the mother parabola function shifted down 3 units?

Back

5.

FLASHCARD QUESTION

Front

What is the correct equation for the graph of a logarithmic function shifted right by 1 unit?

Back

6.

FLASHCARD QUESTION

Front

What is the general form of a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

What is the vertex form of a parabola?

Back

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