This question has 2 parts.
1 answer:
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Answer:
B) Vertex = (-5, 2)
Step-by-step explanation:
Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. It can also be described as the point where a line changes its direction
We can find vertex by two methods:
<h3>1) GRAPH</h3>We can see in the graph attached below that the line changes its direction at point (-5, 2). So the vertex is (-5,2)
<h3>2) FORMULA</h3>General form of equation of mod function is given by
y = a |x - h| + k
where Vertex = (h, k)
The given equation is
h(x) = 3 |x + 5| + 2
h(x) = 3 |x - (-5)| + 2
where h = -5 and k = 2
So the vertex is:
Vertex = (-5, 2)
Answer:
The possible rational roots are
Step-by-step explanation:
We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.
The factors of constant term are
The factors of leading coefficient are
From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.