Instruction Active
Graphing a Quadratic Function Given in Factored Form
Try it
y
Plot the function
y= (x + 1)(x - 3) by following these steps:
X
-1
1
3
y
0
4
0
4
Step 1: Plot the x-intercepts of the function.
2
Step 2: Plot the point on the x-axis that is halfway between
the intercepts.
Step 3: Plot the vertex on the dashed line.
4.
-2
2
4
Step 4: Plot the y-intercept.
1-2
The correct points are shown

6/20

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

5+2x=a

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