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.

x= 149. 24+7=31. 180-31=149

your welcome

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10