What is the vertex of a quadratic function?

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

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 of the parabola.

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

To find the x-intercepts of a quadratic function, set $$y = 0$$ and solve the equation $$ax^2 + bx + c = 0$$ using factoring, completing the square, or the quadratic formula.

What is the quadratic formula?

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

What does it mean for a function to be linear?

A linear function is a function that graphs to a straight line, represented by the equation $$y = mx + b$$ , where m is the slope and b is the y-intercept.

What is the y-intercept of a linear function?

The y-intercept of a linear function is the point where the graph intersects the y-axis, found by setting $$x = 0$$ in the equation.

How do you determine if a quadratic function has a maximum or minimum value?

A quadratic function has a maximum value if it opens downwards (i.e., $$a 0$$ ).

What is the significance of the coefficients in a quadratic function?

The coefficients in a quadratic function determine the shape, direction, and position of the parabola on the graph.

Final Exam Last Review-- Monday 12/16 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

Identify the standard form of a quadratic function.

Back

3.

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation indicate?

Back

4.

FLASHCARD QUESTION

Front

If the discriminant is 25, how many solutions does the quadratic equation have?

Back

The quadratic equation has 2 rational solutions.

5.

FLASHCARD QUESTION

Front

What is the slope of a linear function?

Back

6.

FLASHCARD QUESTION

Front

How do you determine the slope from a graph?

Back

7.

FLASHCARD QUESTION

Front

What does it mean if a parabola opens downwards?

Back

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