How does the graph of g(x) compare to the graph of the parent function f(x)?
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Answer:
Step-by-step explanation:
1) In this question we've been given "a", the leading coefficient. and two roots:
2) There's a theorem, called the Irrational Theorem Root that states:
If one root is in this form then its conjugate
. is also a root of this polynomial.
Therefore
3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:
Substitute the values of x to the equation of the function f:
Therefore we have two points (-1, 7) and (2, 1).
We can calculate the slope of line l.
The formula of a slope:
Substitute: