What are the x-intercepts of the quadratic equation $$y = x^2 - 5x - 36$$ ?

The x-intercepts are the points where the graph intersects the x-axis. For the equation $$y = x^2 - 5x - 36$$ , the x-intercepts are (9, 0) and (-4, 0).

Does the quadratic equation $$Y = -3x^2 + 7x - 2$$ open upwards or downwards?

The equation opens downwards because the coefficient of $$x^2$$ is negative (-3).

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$y = ax^2 + bx + c$$ , where $$a$$ , $$b$$ , and $$c$$ are constants.

What is the significance of the coefficient 'a' in a quadratic equation?

The coefficient 'a' determines the direction of the parabola: if $$a > 0$$ , it opens upwards; if $$a

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

The maximum or minimum value occurs at the vertex of the parabola, which can be found using the vertex formula.

What is the vertex form of a quadratic function?

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

What is the quadratic formula used for?

The quadratic formula is used to find the x-intercepts of a quadratic equation and is given by $$x = \frac{-b \text{±} \text{√}(b^2 - 4ac)}{2a}$$ .

What does the discriminant of a quadratic equation tell us?

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

How do you graph a quadratic function?

To graph a quadratic function, find the vertex, axis of symmetry, x-intercepts, and y-intercept, then plot these points and draw the parabola.

What is the y-intercept of a quadratic function?

The y-intercept is the point where the graph intersects the y-axis, found by evaluating the function at $$x = 0$$ .

Graphing Quadratics Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-IF.C.7A

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-IF.C.7A

3.

FLASHCARD QUESTION

Front

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

Back

The graph of a quadratic function is called a parabola.

Tags

CCSS.HSF-IF.C.7A

4.

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

5.

FLASHCARD QUESTION

Front

How do you find the x-intercepts of a quadratic function?

Back

Tags

CCSS.HSF-IF.C.7A

6.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

What does the term 'parabola' refer to in graphing quadratics?

Back

A parabola is the U-shaped graph that represents a quadratic function.

Tags

CCSS.HSF-IF.C.7A

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