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Writing Quadratic Equations
The Three Types of Solutions
Graphing Quadratic Equations on Calculator
Finding Roots of Quadratic Equation
100
Given the roots -4 and 3 and the point (4,2) , write a quadratic equation.
The quadratic equation is 1/4x^2 + 1/4x -3
100
What type of solution is this graph?
This graph is a no roots solution.
100
What is the first step of finding roots on your calculator?
You hit the y= button.
100
What are the roots of -2x^2 +5x+8?
The roots are -1.11 and 3.61
200
Given the roots 6 and -8 and the point (2,4) write a quadratic equation.
-.1x+.2x+4.8
200
This is a double root solution.
200
What is the next step after entering your equation?
You hit the graph button.
200
What are the roots of -4x^2 +6x+ 10
The roots are -1 and 2.5.
300
Given the roots -8,4 and the point 2,10, write a quadratic equation.
f(x)= -.5x^2-2x+16
300
This type of root intersects the x axis in 2 places.
What is 2 roots?
300
What is the next step after hitting the graph button?
You hit the 2nd button and then press the calc button.
300
What are the roots of -2x^2 -6x+1?
The roots are .16 and -3.16.
400
Given the roots -2, -6 and the point (2,8), write a quadratic equation.
f(x)= 1/4x^2 +2x +3
400
This solution intersects the x axis one time.
What is double root?
400
After you have gone left and right of the x axis what button do you push?
You push the enter button.
400
What are the roots of 3x^2 +6x-6?
The roots are -2.73 and .73.
500
Given the roots -4 and -8 and the point (2,12), write a quadratic equation.
f(x)= 1/5x^2 +12/5 + 32/5
500
This solution never intersects the x axis.
What is no real roots?
500
What option is to find zeroes after hitting 2nd calc?
It is option 2.
500
What are the roots of -x^2 +2x +3?
The roots are -1 and 3.