SOLUTION: For each equation identify the direction of opening; step pattern (a * 1,3,5) and the transformations required to get this new parabola from the original y = x2. y = x2 y = 2(x -

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Question 1180041: For each equation identify the direction of opening; step pattern (a * 1,3,5) and the transformations required to get this new parabola from the original y = x2.
y = x2
y = 2(x - 1)2
y = 2(x - 1)2 + 3
y = -2(x - 3)2 - 1
y = (x + 1)2
y = (x + 3)2  - 1
please answer for every question so i can check my work thank you.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+x%5E2-> the direction of opening: opens up, step pattern is (1,3,5)
y+=+2%28x+-+1%29%5E2->the direction of opening: opens up, the vertex is (1,0), step pattern is 2(1,3,5) =(2,6,10)
y+=+2%28x+-+1%29%5E2%E2%80%AF%2B+3->the direction of opening: opens+up, the vertex is (1,0), step pattern is 2(1,3,5) =(2,6,10)

y+=+-2%28x+-+3%29%5E2%E2%80%AF-+1->the direction of opening: opens down, the vertex is (3,-1), step pattern is -2(1,3,5) =(-2,-6,-10)
y+=%28x+%2B+1%29%5E2->the direction of opening: opens up, the vertex is (-1,0), step pattern is 1(1,3,5) =(1,3,5)
y+=%28x+%2B+3%29%5E2-+1-> the direction of opening: opens up, the vertex is (-3,-1), step pattern is 1(1,3,5) =(1,3,5)