SOLUTION: Think about the standard parabola defined by y=x^2. How does the parabola
defined by y=-4(x+3)^2-7 compare to the standard parabola? Describe all of
the transformations. Then, dr
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Quadratic-relations-and-conic-sections
-> SOLUTION: Think about the standard parabola defined by y=x^2. How does the parabola
defined by y=-4(x+3)^2-7 compare to the standard parabola? Describe all of
the transformations. Then, dr
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Question 1183272: Think about the standard parabola defined by y=x^2. How does the parabola
defined by y=-4(x+3)^2-7 compare to the standard parabola? Describe all of
the transformations. Then, draw a reasonable sketch of both parabolas. Appreciate the help Answer by Solver92311(821) (Show Source):
The minus sign on the lead coefficient makes the transformed parabola open downward. The lead coefficient of 4 compresses the graph horizontally by a factor of 4. The +3 inside the parentheses with the moves the vertex (and the axis of symmetry) 3 units to the left. The -7 moves the vertex down 7. So the vertex is at (-3,-7). The axis of symmetry is . For your sketch, plot (-2,-11) (-11 by calculation) and (-4,-11) (by symmetry).
John
My calculator said it, I believe it, that settles it
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