How do you find the vertex of a parabola given in standard form?

The vertex can be found using the formula x = -b/(2a) and then substituting x back into the equation to find y.

What does the 'a' value in a quadratic function indicate about the parabola?

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

What is the axis of symmetry in a parabola?

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).

What is the significance of the maximum or minimum value of a quadratic function?

The maximum or minimum value represents the highest or lowest point on the graph of the function, corresponding to the vertex.

How do you determine if a quadratic equation has real solutions?

By calculating the discriminant (b² - 4ac); if it is positive, there are two real solutions; if zero, one real solution; if negative, no real solutions.

What is the quadratic formula?

x = (-b ± √(b² - 4ac)) / (2a) for solving quadratic equations.

What is rounding in mathematics?

Rounding is the process of adjusting the digits of a number to make it simpler while keeping its value close to what it was.

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

The coefficients determine the shape, direction, and position of the parabola on the graph.

What is the role of the constant 'c' in a quadratic function?

The constant 'c' represents the y-intercept of the parabola, where the graph crosses the y-axis.

Math 3 wk 1 Flashcards

Student preview

16 questions

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1.

FLASHCARD QUESTION

Front

What is the vertex of the parabola y=x²+8x+5?

Back

(-4,-11)

2.

FLASHCARD QUESTION

Front

What is the maximum value of the function y=-3x²+12x-8?

Back

4

3.

FLASHCARD QUESTION

Front

What is the positive solution of the equation?

Back

1, 6

4.

FLASHCARD QUESTION

Front

What is the rounded value of 3.20?

Back

3.30

5.

FLASHCARD QUESTION

Front

For the function y=-5x²-10x+c, if the vertex is (-1, 8), what is the value of c?

Back

3

6.

FLASHCARD QUESTION

Front

Define a parabola.

Back

A parabola is a symmetric curve formed by the intersection of a cone with a plane parallel to its side.

7.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c, where a, b, and c are constants.

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