Describe, in words, the transformation needed to obtain the graph of g(x)=-1/3(x+3)^2+2 from the graph of the basic function f(x)=x^2.
2006-11-09 14:56:20 · 3 answers · asked by pud88 1 in Science & Mathematics ➔ Mathematics
Okay, first, the function x^2 is shrunk height-wise by a factor of 1/3. Then the centerline of this function is shifted to the left (towards the negative side) by 3. Finally, this function is raised by 2. Three separate transformations.
2006-11-09 14:59:35 · answer #1 · answered by Scythian1950 7 · 0⤊ 0⤋
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2016-11-23 13:36:30 · answer #2 · answered by ? 4 · 0⤊ 0⤋
g(x) = (-1/3)(x + 3)^2 + 2
f(x) = x^2
First move up 2 units, then move left 3 units, flip it upside down then expand the graph to be 3 times larger than x^2
for a graph, go to http://www.calculator.com/calcs/GCalc.html
type in x^2, click enter, then type in (-1/3)(x + 3)^2 + 2, click enter.
2006-11-09 15:02:57 · answer #3 · answered by Sherman81 6 · 0⤊ 0⤋