Toxxic Kitty
New member
- Joined
- Sep 9, 2015
- Messages
- 7
I need help with solving and graphing the following function: f(x) = 2x2 -3x+2
a) Find your exact x-intercepts
b) State your y-intercepts
c) Find your exact vertex
d) Graph f(x) and show and name all of the above information
So far I have the following:
a) Imaginary:
f(x) = 2x2--3x+2 x= [-b +/- √b2-4ac]/2a a= 2 b= -3 c=2
x= [-(-3) +/-√-32-4(2)(2)]/2(2) --> x= [3 +/- √9 - 16]/4 --> x= [3 +/- √-7]/4 --> x= [3 +/- √-1 * √7]/4
x= 3i + √7 /4 , 3i - √7/4
b) (0,2)
f(x)= 2x2-3x+2
f(0) = 2(0)2-3(0)+2 --> f(0) = 0-0+2
f(0) = 2
c) (3/4, 2)
f(x) = 2x2-3x+2 ax2+bx+c a= 2 b= -3 (x,y)= x=(-b/2a) y= f((-b/2a))
x= [-(-3)/2(2)] --> x= (3/4) y= f(3/4) = 2(3/4)2-3(3/4)+2 --> f(3/4)= 9/4-9/4+2 --> f(3/4) = 2
So, now I'm a the graphing part. I know that since my x intercepts are imaginary, that I should only have to plot the vertex. I remember my professor saying that with an equation like this the graph would have two parabolas facing in opposite direction, that do not touch the x axis. I'm trying to figure out how to get the values for the second parabola, and if the work I did for a - c is correct.
a) Find your exact x-intercepts
b) State your y-intercepts
c) Find your exact vertex
d) Graph f(x) and show and name all of the above information
So far I have the following:
a) Imaginary:
f(x) = 2x2--3x+2 x= [-b +/- √b2-4ac]/2a a= 2 b= -3 c=2
x= [-(-3) +/-√-32-4(2)(2)]/2(2) --> x= [3 +/- √9 - 16]/4 --> x= [3 +/- √-7]/4 --> x= [3 +/- √-1 * √7]/4
x= 3i + √7 /4 , 3i - √7/4
b) (0,2)
f(x)= 2x2-3x+2
f(0) = 2(0)2-3(0)+2 --> f(0) = 0-0+2
f(0) = 2
c) (3/4, 2)
f(x) = 2x2-3x+2 ax2+bx+c a= 2 b= -3 (x,y)= x=(-b/2a) y= f((-b/2a))
x= [-(-3)/2(2)] --> x= (3/4) y= f(3/4) = 2(3/4)2-3(3/4)+2 --> f(3/4)= 9/4-9/4+2 --> f(3/4) = 2
So, now I'm a the graphing part. I know that since my x intercepts are imaginary, that I should only have to plot the vertex. I remember my professor saying that with an equation like this the graph would have two parabolas facing in opposite direction, that do not touch the x axis. I'm trying to figure out how to get the values for the second parabola, and if the work I did for a - c is correct.