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3 units left and 1 unit up

by sanju09 » Wed Jul 07, 2010 3:48 am
Suppose the graph of f (x) = -x^2 is translated 3 units left and 1 unit up. If the resulting graph represents g (x), what is the value of g (-1.6)?
(A) 2.96
(B) -0.96
(C) -1.56
(D) -1.96
(E) -2.56


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by kvcpk » Wed Jul 07, 2010 3:58 am
given y=-x^2. It passes through (0,0)

now the graph is moved such that it passes through the point (-3,1)

so y has to be reduced by1 and x has to be increased by 3 to balance the equation.

hence y-1 = -(x+3)^2
y-1=-(-1.6+3)^2
y=1-(1.4)^2
y=1-1.96
y=-0.96

pick B
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by sanju09 » Wed Jul 07, 2010 4:15 am
kvcpk wrote:given y=-x^2. It passes through (0,0)

now the graph is moved such that it passes through the point (-3,1)

so y has to be reduced by1 and x has to be increased by 3 to balance the equation.

hence y-1 = -(x+3)^2
y-1=-(-1.6+3)^2
y=1-(1.4)^2
y=1-1.96
y=-0.96

pick B


B-)
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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