Question 784931: Describe the values of a,h,k and movement of each graph of the ff. given quadratic functions:
1. y=(x-3)^2
2. y=)(x-1)^2+4
3. y=(x+3)^2-2
4. y=2(x-3)^2+2
5. y=-3x^2+5
I don't really understand this topic, please help me with this. Thank you very much :)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Describe the values of a,h,k and movement of each graph of the ff. given quadratic functions:
1. y=(x-3)^2
2. y=)(x-1)^2+4
3. y=(x+3)^2-2
4. y=2(x-3)^2+2
5. y=-3x^2+5
***
The above are forms of equation for parabolas. There are 4 different configurations: a is a coefficient, (h,k)=(x,y) coordinates of the vertex
y=a(x-h)^2+k, a>0, parabola opens up
y=-a(x-h)^2+k, a<0, parabola opens down
x=a(y-k)^2+h, a>0, parabola opens right
x=-a(y-k)^2+h,a<0, parabola opens left
This problem only deals with the first 2 configurations
..
1. y=(x-3)^2, a=1, h=3, k=0,parabola opens up, vertex: (3,0)
2. y=(x-1)^2+4, a=1, h=1, k=4,parabola opens up, vertex: (1,4)
3. y=(x+3)^2-2, a=1, h=-3, k=-2,parabola opens up, vertex: (-3,-2)
4. y=2(x-3)^2+2, a=2, h=3, k=2,parabola opens up, vertex: (3,2)
5. y=-3x^2+5,a=-3, h=0, k=5,parabola opens down, vertex: (0,5)
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