Q: 🎅Final Exam 6.1-6.4 + Things you should know

Front

What is the process of rationalizing a complex fraction?

Back

To rationalize a complex fraction, multiply the numerator and denominator by the conjugate of the denominator to eliminate the imaginary part.

Front

Evaluate the function: If h(x) = 3x^2 - 5x + 8, what is h(-3)?

Back

h(-3) = 50.

Front

How do you simplify a fraction with an imaginary number in the denominator?

Back

Multiply the numerator and denominator by the conjugate of the denominator.

Front

What is the Quadratic Formula?

Back

Front

How do you apply the Quadratic Formula to the equation 5x^2 + 13x - 6 = 0?

Back

Front

What does it mean to translate a graph 7 units right and 9 units down?

Back

To translate a graph 7 units right, replace x with (x - 7). To translate it 9 units down, subtract 9 from the function.

Front

What is the effect of reflecting a graph over the x-axis?

Back

Reflecting a graph over the x-axis changes the sign of the function: if f(x) is the original function, the reflected function is g(x) = -f(x).

Front

What is the standard form of a quadratic function?

Back

Front

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

Back

Front

What is the discriminant in the context of quadratic equations?

Back