The path of the given Hamiltonian diagram is A, E, B, C, D, F. See explanation below.
<h3>What is a Hamiltonian Path?</h3>
A Hamiltonian path, also known as a traceable path, is one that visits each vertex of the graph precisely once.
A traceable graph is one that contains a Hamiltonian path.
Hence, the path is given as;
A, E, B, C, D, F
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B because x is the independent variable; you could choose any number for x
Answer:
a. 1 triangle
Step-by-step explanation:
measure line QS=8.cm measure 85°on side Q
The equation of the function in vertex form is y = -(x + 5)² + 4
<h3>What is quadratic equation?</h3>
A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
Given that the quadratic function has roots at -3 and -7 and a vertex at (-5,4).
We need to find the equation of the function in vertex form
equation of the function in vertex form.
As per the information given in the question,
The given roots of the function are -3 and -7,
y = a (x + 3) (x + 7)
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4),
So, a = -1.
y = -(x + 5)² + 4
Hence, y = -(x + 5)² + 4 is the equation of the function in vertex form
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