SYMKC Unit 7 Flashcards

1
Q

the coordinate points where a graph intersects the x-axis

A

x-intercepts

2
Q

the x-values of the x-intercepts, or the x-values where f(x) = 0

A

zeros

3
Q

the x-values where f(x) = 0

A

solutions or zeros

4
Q

another name for a solution

A

root

5
Q

if ab=0, then a = 0 and b = 0. a and b are factors of a quadratic equation

A

zero product property

6
Q
A
7
Q

A
8
Q

Discriminant Formula

A
9
Q

What is the purpose of a discriminant?

A

to determine the nature of the solutions of a quadratic equation

10
Q

What kind of solutions would occur when the discriminant is greater than 0?

A

Two real solutions

11
Q

What kind of solutions would occur when the discriminant is equal to zero?

A

One real solution that repeats

12
Q

What kind of solutions would occur with the discriminant is greater than 0?

A

two imaginary solutions that are conjugates of one another

13
Q

a conjugate of

A
14
Q

a conjugate of

A
15
Q

Systems consisting of one ________ equation and one _________ equation may have two solutions, one solution, or no solutions.

A

Linear

16
Q

How do you solve a quadratic equation by graphing?

A
17
Q

How do you solve a quadratic equation by using tables?

A
18
Q

How do you solve a quadratic through factoring?

A
19
Q

How do you solve a quadratic by completing the square?

A
20
Q

How many x-intercepts occur on a parabola when the discriminant = 0?

A

1

21
Q

How many x-intercepts occur on a parabola when the discriminant < 0?

A

none

22
Q

How many x-intercepts occur on a parabola when the discriminant > 0?

A

2

23
Q

Would the discriminant be positive, negative, or 0 with the picture below?

A

positive

24
Q

Would the discriminant be positive, negative, or 0 with the picture below?

A

negative

25
Q

Would the discriminant be positive, negative, or 0 with the picture below?

A

0