Math 2 Fall Final Review Part 1

Front

What is the equation of a parabola that opens upwards and has its vertex at (-2, -1)?

Back

f(x) = (x + 2)² - 1

Front

How do you find the value of a quadratic function at a specific point?

Back

Substitute the x-value into the function and simplify.

Front

What are the roots or x-intercepts of a function?

Back

The values of x where the function equals zero.

Front

What is the axis of symmetry in a parabola?

Back

A vertical line that divides the parabola into two mirror-image halves.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, depending on its orientation.

Front

How do you determine the direction a parabola opens?

Back

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c, where a, b, and c are constants.

Front

How do you find the maximum or minimum value of a quadratic function?

Back

Use the vertex formula x = -b/(2a) to find the x-coordinate of the vertex.

Front

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

Back

The value of b² - 4ac, which determines the nature of the roots.

Front

What is the significance of the vertex form of a quadratic function?

Back

It clearly shows the vertex and the direction of the parabola: f(x) = a(x - h)² + k.