19 results for "vertex".
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Question in Standard Maths
Students are shown a graph with 6 vertices and asked to find the length of the shortest path from A to a random vertex.
There is only one graph, but all of the weights are randomised.
They can find the length any way they wish. In the advice, the steps of Dijkstra's algorithm used in solving this problem are displayed. It is not a complete worked solution but it should be sufficient to figure out the shortest path used to reach each vertex.
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Question in Standard Maths
This question displays one of 10 graphs. It asks the student to either
(a) count the vertices, or
(b) count the edges, or
(c) state how many vertices a spanning tree would contain, or
(d) state how many edges a spanning tree would contain, or
(e) state the degree of a selected (randomly chosen) vertex.
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Question in NCL MAS2707
Consider a binary tree with $2^n$ nodes.
We give generators for the isomorphisms of the tree: at each non-leaf vertex, swap the branches descending from that node.
- What is the action of a given word?
- Write a word which produces the required isomorphism
- Which generators commute?
- What is the order of each generator?
- Write one of the (non-root) generators in terms of the others.
- Which permutations of the leaves are possible?
- What is the order of the group of isomorphisms?
- What is the order of the quotient group obtained by identifying all the leaves of one branch?
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Question in Stephen's workspace
This question displays one of 10 graphs. It asks the student to either
(a) count the vertices, or
(b) count the edges, or
(c) state how many vertices a spanning tree would contain, or
(d) state how many edges a spanning tree would contain, or
(e) state the degree of a selected (randomly chosen) vertex.
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Question in Johnathan's workspaceFinding parameters of a factorised quadratic based on x-intercepts at vertex. Function has one intercept at origin and one at a positive integer value. Constant multiplier is randomised and requires vertex in order to calculate.
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Question in Johnathan's workspaceA graph is given with one intercept (negative) and a vertex (positive x and y) and from this students should be able to ascertain the axis of symmetry and equation (given that the leading coefficent of x is -1)
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Question in NC PreCalculus
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Question in NC PreCalculus
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Question in NC PreCalculus
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Question in NC PreCalculus
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Question in NC PreCalculus
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Question in NC PreCalculus
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Question in NC PreCalculus
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Question in NC PreCalculus
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Question in NC PreCalculus
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Question in NC PreCalculus
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PreCal Given Vertex and Focus find equation of parabola in vertex form Vertical from GRAPH Ready to useQuestion in NC PreCalculus
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Question in SREB Essentials for College Math
Students will locate and write the ordered pair for the vertex of a quadratic function from a graph.
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Question in SREB Essentials for College Math
Students will analyze the graph of a quadratic function, and then write the equation in either Standard Form or Vertex Form.