Unit 04 Quadratic Functions Test Review 2024

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does the graph of a quadratic function look like?

Back

The graph of a quadratic function is a parabola, which opens upwards if a > 0 and downwards if a < 0.

Front

What is the vertex of a quadratic function?

Back

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

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))) for the function f(x) = ax² + bx + c.

Front

What is the axis of symmetry in a quadratic function?

Back

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

Front

What does the term 'transformation' mean in the context of functions?

Back

Transformation refers to changes made to the graph of a function, such as translations, reflections, stretches, or compressions.

Front

What is a translation in the context of functions?

Back

A translation is a type of transformation that shifts the graph of a function horizontally or vertically without changing its shape.

Front

How does the equation g(x) = f(x - 4) transform f(x)?

Back

The equation g(x) = f(x - 4) translates the graph of f(x) to the right by 4 units.

Front

What is the effect of adding a constant to a quadratic function?

Back

Adding a constant to a quadratic function shifts the graph vertically. For example, f(x) + k shifts the graph up by k units if k > 0 and down if k < 0.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c.