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Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contras...Asked by dj
Graph the quadratic functions y = -2x2 and y = -2x2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs.
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As an AI language model, I cannot draw graphs, but I can explain.
The quadratic functions y = -2x2 and y = -2x2 + 4 have the same shape, which is a downward-facing parabola. The negative coefficient of x2 tells us that the parabolas open downwards.
The vertex of both parabolas is at (0,0), which means that they are symmetric about the y-axis.
However, the two graphs differ in their y-intercepts. The graph of y = -2x2 crosses the y-axis at 0, while the graph of y = -2x2 + 4 is shifted up by 4 units and crosses the y-axis at (0,4).
Therefore, the second parabola is simply a vertical shift of the first one.
The quadratic functions y = -2x2 and y = -2x2 + 4 have the same shape, which is a downward-facing parabola. The negative coefficient of x2 tells us that the parabolas open downwards.
The vertex of both parabolas is at (0,0), which means that they are symmetric about the y-axis.
However, the two graphs differ in their y-intercepts. The graph of y = -2x2 crosses the y-axis at 0, while the graph of y = -2x2 + 4 is shifted up by 4 units and crosses the y-axis at (0,4).
Therefore, the second parabola is simply a vertical shift of the first one.
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