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