Question

How do I graph y = x^2 − 6x + 5 ? I really need someone to explain this for me. 59 points

Answer 1

Explanation:

Hello :)

Sorry I cant draw a graph on here but I can explain this to you. So if you have a calculator on you (a scientific one) you can use the table mode by pressing mode and then table. If you do not have a calculator then the axis on the graph you have needs to be substituted where x is.

If the axis is from -3 to 3 you need to enter every single value from -3 to 3 and substitute where x is

EG - (-3)^2-6(-3)+5 that is 32

Keep following for the rest of the values (it depends on your scale)

In this case we have

32,21,12,5,0,-3,-4 these each correspond and these are values on the y axis.

These each correspond to -3,-2,-1,0,1,2,3 in this exact order.

Plot the Graph with the values from this so on the x axis you will have -3 and on the y axis you will have 32 and so on.

This allows you to plot your graph

Answer 2

Explanation:

We can factor the equation to find the zeros

y = x^2 − 6x + 5

0 = x^2 − 6x + 5

0 = (x-5) (x-1)

Using the zero product property

x-5 = 0 x-1 =0

x=5 x=1

The zeros are at (1,0) and (5,0)

The vertex is 1/2 way between the zeros

1+5 = 6 6/2 =3

The x coordinate of the vertex is 3

Substituting into the equation

y = 3^2 -6(3) +5

y = 9-18+5

y= -4

The vertex is at (3,-4)

We know it is symmetric around x=3

The y intercept is (0,5)