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Solved Examples
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c   Find the value of 'p', if the graph of the function y = 5x2 - 5x + p has a vertex at (1, 9).   c View Solution
c   Jimmy and little John want to set up a garden in the form of a rectangle. They plan to use one of the walls of their house as a fence. Find the largest area that could be fenced in using 56 ft of fencing.
   c
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c   Find the values of 'a' and 'b', if the graph of the function y = ax2 + bx + 15 has a vertex at (4, - 1).
   c
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c   Identify the given equation in vertex form y = x2 - 8x + 24.
   c
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c   Charles owns a bookstore. He sells lots of storybooks for children. His sales 's' can be modeled by the function s = - 2c2 + 32c and c ≤ 15, where c is the cost of one story book in dollars. Find his maximum profit.   c View Solution
c   Which of the following is the vertex form of the function f(x) = - 4x2 + 24x + 73?   c View Solution
c   Express the given equation in standard form:
f(x) = 4(x - 2)2 + 8   c
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c   Find the value of k, if the graph of the function y = 3x2 - 6x + k has a vertex at (2, 2).
   c
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c   Find the values of 'a' and 'b', if the graph of the function y = ax2 + bx + 6 has a vertex at (1, - 4).
   c
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c   Express the given equation in standard form:
f(x) = - (x - 3)2 + 5   c
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c   Express the given equation in standard form:
y = - 2x(x + 5) + 3x   c
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c   Find the equation of the given graph in standard form.
   c
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c   Victor and little Tim want to set up a garden in the form of a rectangle. They plan to use one of the walls of their house as a fence. Find the largest area that could be fenced in using 72 ft of fencing.
   c
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c   Find the equation of the given graph in standard form.   c View Solution
c   Find the equation of the given graph in standard form.   c View Solution
c   Find the equation of the given graph in standard form.   c View Solution
c   Identify the given equation in vertex form y = x2 - 10x + 32.
   c
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c   Which of the following is the vertex form of the function f(x) = - 2x2 + 12x + 37?   c View Solution
c   Write the given equation in vertex form y = - 2x2 - 2x + 2.   c View Solution
c   Express the given equation in standard form:
f(x) = 5(x - 3)2 + 3   c
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c   Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = x2 + 4x - 1   c View Solution
c   Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = x2 - 6x - 2.   c View Solution
c   Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = 7x2 + 1
   c
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c   Express the given equation in standard form:
f(x) = - (x - 7)2 + 48   c
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c   Express the given equation in standard form:
y = - 2x(x + 4) + 2x   c
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c   Write the given equation in vertex form y = 7x2 + 5x.   c View Solution
c   Andrew owns a bookstore. He sells lots of storybooks for children. His sales 's' can be modeled by the function s = - 9c2 + 252c + 110, where c is the cost of one story book in dollars. Find his maximum profit.
   c
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c   Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = - x2 - 6x - 5.
   c
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c   Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = - 7x2 - 4
   c
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c   Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = - 4x2 - 16x - 7   c View Solution
c   Find the values of 'a' and 'b', if the graph of the function y = ax2 + bx + 22 has a vertex at (5, - 3).
   c
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c   The equation of one of the graphs shown is y = x2 - 6x + 12. Find the equation of the other graph in standard form.   c View Solution
c   The equation of one of the graphs shown is y = x2 - 4x + 11. Find the equation of the other graph in standard form.   c View Solution
c   Matt owns a bookstore. He sells lots of storybooks for children. His sales 's' can be modeled by the function s = - 2c2 + 32c and c ≤ 15, where c is the cost of one story book in dollars. Find his maximum profit.   c View Solution
c   Find the value of k, if the graph of the function y = 2x2 - 6x + k has a vertex at (3, 3).
   c
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c   Find the values of 'a' and 'b', if the graph of the function y = ax2 + bx + 3 has a vertex at (1, - 5).
   c
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