Unit 6 Test Review

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, represented as (h, k) in the vertex form of the equation y = a(x - h)² + k.

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form of the quadratic equation ax² + bx + c.

Front

What type of function is represented by the equation f(x) = mx + b?

Back

This is a linear function, where m is the slope and b is the y-intercept.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, characterized by a constant rate of change.

Front

Solve for x: 3(3x - 6) = 18

Back

x = 4.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

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

Back

The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac, which determines the nature of the roots.

Front

What are the possible values of the discriminant and their meanings?

Back

If the discriminant is positive, there are two real roots; if it is zero, there is one real root; if it is negative, there are no real roots.

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you determine if a function is quadratic?

Back

A function is quadratic if it can be expressed in the form f(x) = ax² + bx + c, where a ≠ 0.