+8581 Graph the function: Y=x^2+4x+3..
Vertex:
Axis of Symmetry:
Domain:
Range:
ANY HELP IS MUCH APRECIATED!! (;
+118608 Graph the function: Y=x^2+4x+3..
Vertex:
Axis of Symmetry:
Domain:
Range:
\(y=x^2+4x+3\)
This is a parabola because it is a polynomial of degree 2 (The highest power of x is 2)
There is an invisable +1 in front of the x^2 (1 is the leading coefficient)
Since the leading coefficient is positive the parabola is concave up.
\(y=x^2+4x+3\\ y=(x+3)(x+1)\\ \)
The roots of the parabola are where y=0
y will equal zero when x+3=0 and when x+1=0
roots are x = -3 and x = -1
The axis of symmetry will be half way between the roots
x=(-3+-1)/2 = -4/2 = -2
Axis of symmetry is x = -2
When x=-2 y=2^2-4*2+3 = 4 -8 +3 = -1 So the vertex is (-2, -1)
Domain: \(x \in Z\) (x can be anything)
Range: \(y\ge-1\)
The vertex is where y=-1 so this is the lowest value that y can take.
and here is the graph
https://www.desmos.com/calculator/jypgvfhfex
Hopefully you can get a lot from this Hayley but if you have questions, make sure you ask :D
+8581 I guess :(
But Melody is an amazing person and is trying to help me!!
( I hope..)
Huh. Make a post saying that you are losin faith in Melody. That would be funny😀
+8581 haha. They work there bottoms off to help us!!!!
I greatly appreciate it Melody & Alan.
Thank you a lot!!
Like i said..
Anything is helpful information!
+33615 This should help:
Domain is from -infinity to infinity. The range is all the valid values of y. The graph should help you to figure that out.
+118608 Graph the function: Y=x^2+4x+3..
Vertex:
Axis of Symmetry:
Domain:
Range:
\(y=x^2+4x+3\)
This is a parabola because it is a polynomial of degree 2 (The highest power of x is 2)
There is an invisable +1 in front of the x^2 (1 is the leading coefficient)
Since the leading coefficient is positive the parabola is concave up.
\(y=x^2+4x+3\\ y=(x+3)(x+1)\\ \)
The roots of the parabola are where y=0
y will equal zero when x+3=0 and when x+1=0
roots are x = -3 and x = -1
The axis of symmetry will be half way between the roots
x=(-3+-1)/2 = -4/2 = -2
Axis of symmetry is x = -2
When x=-2 y=2^2-4*2+3 = 4 -8 +3 = -1 So the vertex is (-2, -1)
Domain: \(x \in Z\) (x can be anything)
Range: \(y\ge-1\)
The vertex is where y=-1 so this is the lowest value that y can take.
and here is the graph
https://www.desmos.com/calculator/jypgvfhfex
Hopefully you can get a lot from this Hayley but if you have questions, make sure you ask :D
+8581 Thank you so much!!
You're so so helpful!!
<3333333
Thaank you, Alan!!
You're very helpful, too!
<3333
+118608 Thank you Hayley and guest for your glowing refernces BUT how am i going to fit my head through any door now????
Hi Alan :))
+118608 All the praise has gone to my head and now it is very swollen so I do not know if it will fit through doorways anymore. :// 
+118608 NO Hayley didn't ruin it.
She should always ask when she does not understand :)
It was the purpose of my creation to annoy people... And I pride myself on being good at it. In fact I have only been slugged 4 times. But they got hurt back so my " attackers" and I are even.
Yeah I know she didn't ruin it in this case but I hate it when I have a good comment and then someone asks me to repeat it or something... It just doesn't seem as good the second time around.
+8581 So.. Someone should pretty please help me on this..
I have a huge project i have to do.. :/
It's on drivers ed!
I should make that my motto " Ask in yo will totally understand" it's sounds a little better than ask and yo shall receive. Don't ya think.
+8581 haha, drivers ed is a class where i can learn to drive better, so that i dont drive crazy ^-^
JJ I am a girl but I am a tomboy. My name is Victoria but don't use my name cause I hate it.
I've talked to yo before and told yo ma name... I think or that could have been Katie Leigh I told ma name to.
Cool way projects? Once I made a guillotine but I made it smash a watermelon it was messy but awesome.
Oh... Less awesome. Is yo profile pic of yo I wish I had blonde hair but it would be kinda useless cuz I died ma hair orange and black.
+118608 Driver's Ed would stand for Driver's Education.
Hayley can tell you more about what it is :/
I'm gonna be 25 fore I can drive a car. I always press gas to hard and the vehicle like goes on two. It is fun though also I e only driven a golf cart and four wheeler. Once I pressed the gas to hard and ma friend fell off she was out for carnage after that.
