Use the parabola tool to graph the quadratic function f(x)=x2−12x+27. graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

vertex is (6 , -9)

points are (9,0) and (3,0)

Step-by-step explanation:

Given quadratic function

We have to plot the given quadratic function.

Consider the Given quadratic function

The general form of quadratic function  is given

Where, (h, k)  is vertex , given   and  

Thus, for given quadratic function

a = 1 , b= -12 , c = 27

Thus,

that is f(12) = (6)^2 - 12× 6 +27 = 36 - 72 + 27 = - 9

Thus, given  quadratic function in standard form is  

Thus, vertex is (6 , -9)

For second point put  , we get,

Thus, and  

thus, points are (9,0) and (3,0)

Graph is attached below.

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13