Finding Roots Using Desmos

What are the green dots called?

• axis of symmetry

• vertex

• parabola

• roots or solutions

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

To solve a quadratic by graphing, you are looking for the...

• you can't solve with graphing

• y-intercept

• place where they cross

• x-intercepts

What are the solutions?

• -2, 1

• 1, 2

• -1,2

• 0,-4

Identify a root

• (-1,9)

• (0,-8)

• (-4,0)

• (0,0)

What does it mean to solve a quadratic?

• solve for x by finding the x-intercepts

• solve for y by finding the y-intercepts

• find where they cross

• no solution

Solve by using Desmos:

2x³ - 11x² + 12x + 9 = 0

• -1, 1, 3

• -1, 3/2, 3

• -1/2, 3, 3

• -1/2, 1, 3

Solve by using Desmos:

x³ - 7x - 6 = 0

• 1, 2, 3

• -1, -2, - 3

• -1, -2, 3

• 1,-2,-3

Solve by using Desmos:

x³ + 3x² - 6x - 8 = 0

• -4, -1, 2

• -4, -1, ±√2

• 1, 2, 4

• 4,-1,√2

What are the x- intercepts?
These are also known as the roots, zeroes and solutions!! 
These are the points where the parabola goes through the X - AXIS

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2