SOLUTION: identify the axis of symmetry, create a suitable table of values,and sketch the graph including t he axis of symmetry.
y=-x^2+6x-2
i cant figure out how to the the table of va
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: identify the axis of symmetry, create a suitable table of values,and sketch the graph including t he axis of symmetry.
y=-x^2+6x-2
i cant figure out how to the the table of va
Log On
Question 89953: identify the axis of symmetry, create a suitable table of values,and sketch the graph including t he axis of symmetry.
y=-x^2+6x-2
i cant figure out how to the the table of values can someone please help? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Identify the axis of symmetry, create a suitable table of values,and sketch the graph including the axis of symmetry.
:
y = -x^2 + 6x - 2
;
Find the axis of symmetry using the formula: x = -b/(2a)
In your equation a = 1; b = 6, so we have:
:
x = -6/(2*-1)
x = -6/-2
x = +3 is where the axis of symmetry occurs
:
To plot the graph, make table, choose x values below and above the axis of symmetry. Let say from -1 to +7,
:
Here's x = -1 as an example: substitute -1 for x in the original equation to find the value of y
-(-1^2) + 6(-1) - 2 = y
-1 - 6 - 2 = -9 is the value of y, I put it in the table
:
Do the same with the other values of x. Make a table like this
I filled in a couple for you:
x | y
------
-1 | -9
0 |
+1 | +3
+2 |
+3 | +7; axis of symmetry
+4 |
+5 | +3
+6 |
+7 | -9
:
Plot these values and your graph should look like this:
:
Note that the axis of symmetry will be a vertical line going thru x = 3 and
the maximum where y = 7
:
Did this make sense to you now?
