Understanding Quadratic Functions with Complex Zeros

Understanding Quadratic Functions with Complex Zeros

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

Created by

Lucas Foster

FREE Resource

The video tutorial explains how to find a quadratic function with a complex zero of 2i. It highlights that complex zeros come in conjugate pairs, so -2i is also a zero. The tutorial covers how zeros inform the factors of a quadratic function and demonstrates constructing the function using these zeros. It simplifies the function to F(x) = x^2 + 4 and explains that the graph will not intersect the x-axis due to the imaginary nature of the zeros.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the form of complex conjugates?

a + bi and a - bi

a + b and a - b

a - b

a + b

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If 2i is a zero of a quadratic function, what must be another zero?

-2

2i

-2i

2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do the zeros of a quadratic function tell us about the function?

The domain of the function

The y-intercepts

The factors of the function

The slope of the function

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens graphically if the zeros of a quadratic function are not real?

The graph will intersect the x-axis

The graph will be a straight line

The graph will not intersect the x-axis

The graph will have a vertex at the origin

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factor form of a quadratic function with zeros 2i and -2i?

(x - 2)(x + 2)

(x - 2i)(x + 2i)

(x + 2i)(x + 2i)

(x - 2i)(x - 2i)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying (x - 2i) and (x + 2i)?

x^2 + 4

x^2 - 4

x^2 + 2

x^2 - 2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of i squared?

-1

i

1

0

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