Factoring
Imaginary Numbers
Quadratic Formula
Quadratic Functions
Characteristics of a Quadratic Function
100

p2 - 2p - 15 = 0

5, -3

100

Simplify i8

1

100

m2 − 5m − 14 = 0

7, −2

100

f(x) = x+ 4 when x = 3

f(3) = 13

100

What are zeros/roots/x-intercepts?

Where the function crosses the x-axis

200

3v2 + 7v - 40 = 0

8/3, -5

200

Simplify i15

-i

200

x2 − 4x + 5 = 0

2 + i, 2 - i

200

f(x) = 3x2 - x + 4 when x = 1

f(1) = - 2

200

In this function what is the absolute maximum and minimum?

https://www.desmos.com/calculator/qvxfeyjffk

Max: DNE

Min: (0,1)

300

3x2 - 11x - 4 = 0

-1/3, 4

300

What is the square root of -9?

3i

300

x2 + 4x + 7 = 0

-2 + i/3

-2 - i/3

300

g(t) = -2t2 - t +3 when t = 5

g(5) = - 52

300

What is the absolute maximum and minimum of this function?

https://www.desmos.com/calculator/kvq8ksop6i

Max: (-4,-1)

Min: DNE

400

7r2 + 49r + 84 = 0

-4, -3

400

Simplify i33

i

400

x2 + 2x + 5 = 0

-1 + 2i

-1 - 2i

400

h(x) = -x2 - 3x - 1 when x = - 3

h(-3) = - 1
400

What is the interval of INCREASING for this function?

https://www.desmos.com/calculator/ukt2yuyife

(-inf, -4)

500

9n2 + 39n = -36

-4/3, -3

500

What is the square root of -19

i root 19

500

x2 - 6x + 25 = 0

3 + 4i

3 - 4i

500

f(x) = 1 - 9x - x2 when x = - 10

f(-10) = - 9

500

The zeros, domain, range, and end behavior of this function

https://www.desmos.com/calculator/k4kn7cpk2n

Zeros: DNE

Domain: (-inf, inf)

Range: (-inf, -1]

End Behavior: 

as x approaches infinity, f(x) approaches negative infinity.

as x approaches negative infinity, f(x) approaches negative infinity.


M
e
n
u