Let g=3(x+1)^{2}-4 a. Identify the parent function of g. Then on graph paper, graph g and the parent function on the same set of axes.
b. Identify the transformation that maps the graph of the parent function onto the graph of g
c. Identify the domain and range of g
d. identify the intervals of increase and decrease of g

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Ответ:

622ghernandezc

18.10.2020

Mathematics

$f(x)=x^2\\\\\dfrac{f(x+h)-f(x)}{h}=\dfrac{(x+h)^2-x^2}{h}\\\\=\dfrac{x^2+2xh+h^2-x^2}{h}=\dfrac{2xh+h^2}{h}\\\\=\dfrac{h(2x+h)}{h}=\boxed{2x+h}$

Used:
(a + b)² = a² + 2ab + b²

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