SOLUTION: A) Let g(x) = x^2+bx+11. The point lies on (-1,8) on the graph of g. Find the value of b.
b) The graph of f(x) = x^2 is transformed to obtain the graph of g. Describe this trans
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-> SOLUTION: A) Let g(x) = x^2+bx+11. The point lies on (-1,8) on the graph of g. Find the value of b.
b) The graph of f(x) = x^2 is transformed to obtain the graph of g. Describe this trans
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Question 1193868: A) Let g(x) = x^2+bx+11. The point lies on (-1,8) on the graph of g. Find the value of b.
b) The graph of f(x) = x^2 is transformed to obtain the graph of g. Describe this transformation. Answer by ikleyn(52878) (Show Source):
You can put this solution on YOUR website! .
A) Let g(x) = x^2+bx+11. The point lies on (-1,8) on the graph of g. Find the value of b.
b) The graph of f(x) = x^2 is transformed to obtain the graph of g. Describe this transformation.
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(a) To answer question (a), you should substitute -1 instead of x in the formula and substitute 8 instead of y.
You will get then
(-1)^2 + b(-1) + 11 = 8,
or
1 - b + 11 = 8
1 - 8 + 11 = b
4 = b.
ANSWER. b = 4. The function g(x) is g(x) = .
(b) So, the function g(x) is g(x) = .
Complete the square and get g(x) = = .
This formula says you that to get the plot of g(x), you should start
from plot of function y = , translate it 2 units left and 7 units vertically up.
