SOLUTION: Please help/Fill in the blanks!!!!
Given x=-y^2+4y+1,
it is shifted 2 units _____, 5 units ______, and opens_____?
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Question 734344: Please help/Fill in the blanks!!!!
Given x=-y^2+4y+1,
it is shifted 2 units _____, 5 units ______, and opens_____?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Complete the square for y. Put resulting equation into standard form.
Omitting the completing of the square in this solution posting, the standard form equation should be . If you are at least somewhat familiar with quadratic equations and parabolas, you will understand that has vertex at the origin and the graph opens toward the right. This then would means that opens to the left. Compare this with YOUR equation in standard form: Your equation opens to the left. [ would be same as ].
Compared to standard position, 5 units to the right and 2 units up. That information comes by reading it from the standard form for your equation, directly. See, , vertex point (h, k) is (5, 2). This is based on the symbolic model, , standard form for a parabola with axis parallel to the x axis.
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