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Solved Examples
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BBB Find the value of 'p', if the graph of the function y = 5x2 - 5x + p has a vertex at (1, 9). BBB View Solution
BBB 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.
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BBB Find the values of 'a' and 'b', if the graph of the function y = ax2 + bx + 15 has a vertex at (4, - 1).
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BBB Identify the given equation in vertex form y = x2 - 8x + 24.
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BBB 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. BBB View Solution
BBB Which of the following is the vertex form of the function f(x) = - 4x2 + 24x + 73? BBB View Solution
BBB Express the given equation in standard form:
f(x) = 4(x - 2)2 + 8 BBB
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BBB Find the value of k, if the graph of the function y = 3x2 - 6x + k has a vertex at (2, 2).
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BBB Find the values of 'a' and 'b', if the graph of the function y = ax2 + bx + 6 has a vertex at (1, - 4).
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BBB Express the given equation in standard form:
f(x) = - (x - 3)2 + 5 BBB
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BBB Express the given equation in standard form:
y = - 2x(x + 5) + 3x BBB
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BBB Find the equation of the given graph in standard form.
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BBB 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.
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BBB Find the equation of the given graph in standard form. BBB View Solution
BBB Find the equation of the given graph in standard form. BBB View Solution
BBB Find the equation of the given graph in standard form. BBB View Solution
BBB Identify the given equation in vertex form y = x2 - 10x + 32.
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BBB Which of the following is the vertex form of the function f(x) = - 2x2 + 12x + 37? BBB View Solution
BBB Write the given equation in vertex form y = - 2x2 - 2x + 2. BBB View Solution
BBB Express the given equation in standard form:
f(x) = 5(x - 3)2 + 3 BBB
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BBB Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = x2 + 4x - 1 BBB View Solution
BBB Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = x2 - 6x - 2. BBB View Solution
BBB Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = 7x2 + 1
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BBB Express the given equation in standard form:
f(x) = - (x - 7)2 + 48 BBB
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BBB Express the given equation in standard form:
y = - 2x(x + 4) + 2x BBB
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BBB Write the given equation in vertex form y = 7x2 + 5x. BBB View Solution
BBB Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = - x2 - 6x - 5.
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BBB Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = - 7x2 - 4
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BBB Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = - 4x2 - 16x - 7 BBB View Solution
BBB Find the values of 'a' and 'b', if the graph of the function y = ax2 + bx + 22 has a vertex at (5, - 3).
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BBB The equation of one of the graphs shown is y = x2 - 6x + 12. Find the equation of the other graph in standard form. BBB View Solution
BBB The equation of one of the graphs shown is y = x2 - 4x + 11. Find the equation of the other graph in standard form. BBB View Solution
BBB 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. BBB View Solution
BBB Find the value of k, if the graph of the function y = 2x2 - 6x + k has a vertex at (3, 3).
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BBB Find the values of 'a' and 'b', if the graph of the function y = ax2 + bx + 3 has a vertex at (1, - 5).
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BBB 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.
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