SYMKC Unit 7 Flashcards
the coordinate points where a graph intersects the x-axis
x-intercepts
the x-values of the x-intercepts, or the x-values where f(x) = 0
zeros
the x-values where f(x) = 0
solutions or zeros
another name for a solution
root
if ab=0, then a = 0 and b = 0. a and b are factors of a quadratic equation
zero product property
Quadratic Formula
Discriminant Formula
What is the purpose of a discriminant?
to determine the nature of the solutions of a quadratic equation
What kind of solutions would occur when the discriminant is greater than 0?
Two real solutions
What kind of solutions would occur when the discriminant is equal to zero?
One real solution that repeats
What kind of solutions would occur with the discriminant is greater than 0?
two imaginary solutions that are conjugates of one another
a conjugate of
a conjugate of
Systems consisting of one ________ equation and one _________ equation may have two solutions, one solution, or no solutions.
Linear
Quadratic
How do you solve a quadratic equation by graphing?
How do you solve a quadratic equation by using tables?
How do you solve a quadratic through factoring?
How do you solve a quadratic by completing the square?
Would the discriminant be positive, negative, or 0 with the picture below?
positive
Would the discriminant be positive, negative, or 0 with the picture below?
negative
Would the discriminant be positive, negative, or 0 with the picture below?
0
