Asked by WhenEverythingYouTouchTurnsToGold
Describe how the graph of y = -x² + 1 differs from y = x². Then find the axis of symmetry and the vertex.
I have no clue what this even means.
I have no clue what this even means.
Answers
Answered by
MsPi_3.14159265
The graph of y=x^2 opens upwards, thus has a minimum value while the graph of y=-x^2 opens downwards and has a maximum value.
The axis of symmetry is the same for both of them. The axis of symmetry is where the mirror line for the function would sit. This is at x=0
The vertex is the max or min value. For y=x^2 if you sub in values for x of 0,1, -1, 2 and -2 you see that the minimum value occurs when x=0, so (0,0)
While... if you do the same thing for y=-x^2 + 1 you see the entire function opens downward and has a maximum value at (0,1)
The axis of symmetry is the same for both of them. The axis of symmetry is where the mirror line for the function would sit. This is at x=0
The vertex is the max or min value. For y=x^2 if you sub in values for x of 0,1, -1, 2 and -2 you see that the minimum value occurs when x=0, so (0,0)
While... if you do the same thing for y=-x^2 + 1 you see the entire function opens downward and has a maximum value at (0,1)
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