What does the vertex of a quadratic function represent?

The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

How can you find the vertex of a quadratic function in standard form?

For a quadratic function in standard form $$f(x) = ax^2 + bx + c$$ , the vertex can be found using the formula $$x = -\frac{b}{2a}$$ .

What is the axis of symmetry in a quadratic function?

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 significance of the 'a' value in a quadratic function?

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a

What does it mean to complete the square in a quadratic function?

Completing the square is a method used to rewrite a quadratic function in vertex form, which helps in identifying the vertex and graphing the function.

How do you convert a quadratic function from standard form to vertex form?

To convert from standard form $$f(x) = ax^2 + bx + c$$ to vertex form $$f(x) = a(x - h)^2 + k$$ , complete the square.

What is the formula for the quadratic equation?

The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ , used to find the roots of the quadratic equation $$ax^2 + bx + c = 0$$ .

What is the discriminant in a quadratic equation?

The discriminant is the part of the quadratic formula under the square root, given by $$b^2 - 4ac$$ . It determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

Transformation of Quadratic Functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What is the parent function of quadratic functions?

Back

3.

FLASHCARD QUESTION

Front

What does it mean to vertically shift a quadratic function?

Back

4.

FLASHCARD QUESTION

Front

How do you represent a vertical shift down in a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

What is a horizontal shift in a quadratic function?

Back

6.

FLASHCARD QUESTION

Front

How do you represent a horizontal shift left in a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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