How do you determine the y-intercept of a quadratic function?

The y-intercept can be found by evaluating the function at $$x=0$$ .

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

The discriminant, given by $$D=b^2-4ac$$ , determines the nature of the roots: if D>0, there are two real roots; if D=0, there is one real root; if D

What is the formula to find the x-coordinate of the vertex of a quadratic function in standard form?

The x-coordinate of the vertex can be found using the formula $$x=-\frac{b}{2a}$$ .

What is the relationship between the vertex and the maximum or minimum value of a quadratic function?

The vertex represents the maximum value if the parabola opens downwards (a 0).

How can you convert from standard form to vertex form?

You can convert from standard form $$y=ax^2+bx+c$$ to vertex form by completing the square.

What is the effect of changing the value of 'a' in the vertex form $$y=a(x-h)^2+k$$ ?

Changing 'a' affects the width and direction of the parabola: if |a|>1, the parabola is narrower; if 0

What are the coordinates of the vertex for the quadratic function $$y=-\frac{1}{2}(x+4)^2+3$$ ?

The vertex is at the point $$(-4, 3)$$ .

What is the general shape of the graph of a quadratic function?

The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of 'a'.

Graphing Quadratics in Intercept and Vertex Form Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

The vertex is the point where the quadratic function reaches its highest or lowest value.

3.

FLASHCARD QUESTION

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the quadratic function crosses the x-axis.

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic function?

Back

6.

FLASHCARD QUESTION

Front

Back

The 'a' represents the coefficient that determines the direction and width of the parabola.

7.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

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