Final Exam

Front

What is the vertex form of a quadratic function?

Back

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

Front

Is side a on a right triangle always the longest side?

Back

False. The longest side in a right triangle is the hypotenuse.

Front

What does the quadratic function with a vertex of (3,4) look like?

Back

y = a(x-3)² + 4, where 'a' determines the direction and width of the parabola.

Front

What is the value of tan(3π/2)?

Back

Undefined (UND).

Front

Solve the equation: 16a² - 9 = 0

Back

a = -3/4, 3/4.

Front

What is the standard form of a quadratic function?

Back

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

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by D = b² - 4ac and determines the nature of the roots.

Front

What does a positive discriminant indicate?

Back

Two distinct real roots.

Front

What does a zero discriminant indicate?

Back

One real root (the roots are repeated).

Front

What does a negative discriminant indicate?

Back

No real roots (the roots are complex).