Honors Precal Final Review #5

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax² + bx + c, where a, b, and c are constants.

Front

How do you translate a quadratic function left by 4 units?

Back

To translate a quadratic function left by 4 units, replace x with (x + 4) in the function's equation.

Front

What determines the vertical asymptote of a rational function?

Back

The vertical asymptote is determined by the values of x that make the denominator of the rational function equal to zero.

Front

What is a hole in a rational function?

Back

A hole occurs in a rational function at a value of x that makes both the numerator and denominator equal to zero.

Front

How do you reflect a quadratic function over the x-axis?

Back

To reflect a quadratic function over the x-axis, multiply the entire function by -1.

Front

What is the effect of shifting a quadratic function up by 2 units?

Back

Shifting a quadratic function up by 2 units involves adding 2 to the entire function, resulting in y = ax² + bx + (c + 2).

Front

What is the horizontal asymptote of a rational function?

Back

The horizontal asymptote describes the behavior of the function as x approaches infinity or negative infinity.

Front

When does the horizontal asymptote equal zero?

Back

The horizontal asymptote equals zero when the degree of the numerator is less than the degree of the denominator.

Front

What is the standard form of a quadratic function?

Back

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

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.