Let g ( x ) = x h ( x ) = g ( x − 2) . (a) (b) (c) (d) 3 + 6 x 2 − 2 x − 15 and h( x ) = x 3 − 14 x + 5 be as above, and recall that Using a graphing device, graph both g x ) and h( x). In terms of graphing transformations, how does one obtain the graph of h (x) from the graph of g (x) ? Given the x-intercepts of g(x), how could you find the x-intercepts for the graph of h (x)? What is the inflection point for the graph of h(x)? Estimate the sum of the x-intercepts for the graph of h (x) .
Subject: Calculus
from Mathematics for Secondary School Teachers/ Measurement And Polynomials
Calculus
from Mathematics for Secondary School Teachers/ Measurement And Polynomials
Your Turn 3. Let g ( x ) = x h ( x ) = g ( x − 2) . (a) (b) (c) (d) 3 + 6 x 2 − 2 x − 15 and h( x ) = x 3 − 14 x + 5 be as above, and recall that Using a graphing device, graph both g x ) and h( x). In terms of graphing transformations, how does one obtain the graph of h (x) from the graph of g (x) ? Given the x-intercepts of g(x), how could you find the x-intercepts for the graph of h (x)? What is the inflection point for the graph of h(x)? Estimate the sum of the x-intercepts for the graph of h (x) .
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