746.Which of the following sequence of shifts would
you perform in order to obtain the graph of
f(x) = –|x– 1| + 5 from the graph ofg(x) = |x|?
a.Shift the graph ofgleft 1 unit, then reflect
over the x-axis, and then up 5 units.
b.Shift the graph ofgright 1 unit, then reflect
over the x-axis, and then up 5 units.
c.Shift the graph ofgleft 1 unit, then reflect
over the x-axis, and then down 5 units.
d.Shift the graph ofgright 1 unit, then reflect
over the x-axis, and then down 5 units.
747.Which of the following sequence of shifts
would you perform in order to obtain the
graph off(x) = –(x+ 3)^3 + 5 from the graph of
g(x) = x^3?
a.Shift the graph ofgleft 3 units then reflect
over the x-axis, and then up 5 units.
b.Shift the graph ofgright 3 units, then reflect
over the x-axis, and then up 5 units.
c.Shift the graph ofgleft 3 units, then reflect
over the x-axis, and then down 5 units.
d.Shift the graph ofgright 3 units, then reflect
over the x-axis, and then down 5 units.
748.Which of the following functions’ graphs can
be obtained by shifting the graph ofg(x) = x^4
right 5 units and then reflecting it over the
x-axis?
a. f(x)= –x^4 + 5
b.f(x)= –x^4 –5
c.f(x)= –(x+ 5)^4
d.f(x)= –(x–5)^4
749.Which of the following functions’ graphs can be
obtained by shifting the graph ofg(x) = x
right 5 units and then up 2 units?
a.f(x)= x– 5+ 2
b.f(x)= x+ 5+ 2
c.f(x)= x– 2+ 5
d.f(x)= x+ 2– 5750.Which of the following functions’ graphs can
be obtained by shifting the graph ofg(x) = |x|
left 3 units, then reflecting it over the x-axis,
and then shifting it down 2 units?
a.f(x)= –|x–3| + 2
b.f(x)= –|x+ 2| –3
c.f(x)= –|x+ 3| –2
d.f(x)= –|x–2| + 3751.Which of the following functions’ graphs can
be obtained by reflecting the graph ofg(x) = ^1 x
over the x-axis, and then shifting it up 2 units?
a.f(x) = 2 + ^1 x
b.f(x) = 2 – ^1 x
c.f(x) = –x+^1 2
d.f(x) =–x–^1 2752.Which of the following functions’ graphs can
be obtained by shifting the graph ofg(x) = x^1 2
right 2 units and then reflecting it over the
x-axis?
a.f(x) = –b.f(x) = – +2
c.f(x) = –x^12 – 2
d.f(x) = –(x–^1 2) 2^1
x^2^1
(x+2)^2- ELEMENTARY FUNCTIONS–