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.

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

hope this : )