SOLUTION: Can you please help with this problem from college algebra blitzer.using this function f(x) =x^2 +4x +1, find h, the x-coordinate of the vertex of this parabola,using a graph.
s
Algebra.Com
Question 124293: Can you please help with this problem from college algebra blitzer.using this function f(x) =x^2 +4x +1, find h, the x-coordinate of the vertex of this parabola,using a graph.
substitute the two intergers immediately to the left and right of h into the function to find the corresponding y. fill in following table. make sure the x- values are in increasing order in your table.
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To find h, use this formula:
From the equation we can see that a=1 and b=4
Plug in b=4 and a=1
Multiply 2 and 1 to get 2
Reduce
So the axis of symmetry is
So the x-coordinate of the vertex is . Lets plug this into the equation to find the y-coordinate of the vertex.
Lets evaluate
Start with the given polynomial
Plug in
Raise -2 to the second power to get 4
Multiply 4 by -2 to get -8
Now combine like terms
So the vertex is (-2,-3)
Now lets find 2 other points to the left of the vertex
Lets evaluate
Start with the given polynomial
Plug in
Raise -4 to the second power to get 16
Multiply 4 by -4 to get -16
Now combine like terms
So our 1st point is (-4,1)
----Now lets find another point----
Lets evaluate
Start with the given polynomial
Plug in
Raise -3 to the second power to get 9
Multiply 4 by -3 to get -12
Now combine like terms
So our 2nd point is (-3,-2)
Now remember, the parabola is symmetrical about the axis of symmetry (which is )
This means the y-value for is equal to the y-value of . So when , .
Also, the y-value for is equal to the y-value of . So when , .
Now lets make a table of the values we have calculated
Now let's plot these points to graph
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
using this function f(x) =x^2 +4x +1, find h, the x-coordinate of the vertex of this parabola,using a graph.
----------
The max or min point occurs when x=-b/2a = -4/(2*1) = -2
Therefore h=-2
------------------------
substitute the two integers immediately to the left and right of h into the function to find the corresponding y. fill in following table. make sure the x- values are in increasing order in your table.
If x=-4, f(-4) = (-4)^2+4*4+1 = 13
If x=-3, f(-3) = (-3)^2+4*-3+1 =-2
If x=-2, f(-2) = (-2)^2+4*-2+1 =-3
If x=-1, f(-1) = (-1)^2+4*-1+1 =-2
If x=0 , f(0) = (0)^2+4*0+1 = 1
----------------------------------------
-------------------------------
Cheers,
Stan H.
RELATED QUESTIONS
PLEASE ANSWER THESE QUESTION FROM COLLEGE ALGEBRA BY BLITZER, AND THANK YOU IN ADVANCE.
(answered by solver91311)
PLEASE HELP WITH THIS PROBLEM FROM BLITZER 4 COLLEGE ALGEBRA.
(1) suppose that N =... (answered by solver91311)
Hello. I did not find how to solve this problem in the Blitzer College Algebra Book. Here (answered by josgarithmetic,MathTherapy,ikleyn)
Can you please help me with this one.
Consider the function f(x)=x^2+4x+1.
a)... (answered by edjones)
I need to solve this help solving these two problems, I am stuck I came up with x=2 for... (answered by nerdybill,mangopeeler07)
I am studying for a college algebra test and have hit a wall with this question:
Let... (answered by oscargut)
Can you please help me with the below algebra problem.
f(x)= sqrt... (answered by edjones)
I am struggling with the difference of quotient problems. This one in particular... (answered by rothauserc,Alan3354)
I am an old student in College Algebra and I have tried and tried to solve these... (answered by venugopalramana)