What is the equation of the axis of symmetry for the parabola represented by the equation $$y = a(x - h)^2 + k$$ ?

The equation of the axis of symmetry is $$x = h$$ .

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

The vertex can be found using the formula $$x = -\frac{b}{2a}$$ , and then substituting this value back into the function to find the y-coordinate.

What is the effect of changing the value of 'b' in the quadratic function $$y = ax^2 + bx + c$$ ?

Changing 'b' affects the position of the vertex and the axis of symmetry of the parabola.

What is the quadratic formula used for?

The quadratic formula is used to find the roots (x-intercepts) of a quadratic equation, given by $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

Define Maximum in the context of quadratic functions.

The highest y-value on the graph of a quadratic function.

What is the relationship between the roots of a quadratic function and its graph?

The roots are the x-values where the graph intersects the x-axis.

What does the term 'discriminant' refer to in a quadratic equation?

The discriminant, given by $$b^2 - 4ac$$ , determines the nature of the roots: if positive, there are two distinct real roots; if zero, one real root; if negative, no real roots.

How can you determine if a quadratic function opens upwards or downwards?

By examining the sign of the coefficient 'a': if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

What is the vertex form of a quadratic function?

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

Features of Quadratic Functions and Graphing Quadratics Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

Define Vertex

Back

The highest or lowest point on the graph of a quadratic function.

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

It has a maximum.

Tags

CCSS.HSF-IF.C.7A

4.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

Define Minimum in the context of quadratic functions.

Back

The lowest y-value on the graph of a quadratic function.

Tags

CCSS.HSF-IF.C.7A

6.

FLASHCARD QUESTION

Front

Back

The direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Tags

CCSS.HSF-IF.C.7A

7.

FLASHCARD QUESTION

Front

What is the significance of the y-intercept in a quadratic function?

Back

Tags

CCSS.HSF-IF.C.7A

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