Sept.17th2012Math4Unit1Day10
September 17, 2012
Random calculator checking...
delete programs with notes related to this unit
now so you don't get a zero on your quiz
Quiz time: last 30 minutes of class
Notes
horizontal translations
Coordinate rule: (x, y) ➞ (x + h, y)
Function rule: g(x) = f(x - h)
Coordinate rule: (x, y) ➞ (x - h, y)
Function rule: g(x) = f(x + h)
Sept.17th2012Math4Unit1Day10
September 17, 2012
Practice quiz questions Answers are in blue
1. Suppose f(x) = -|x+3|. Describe how f(x) is transformed
from the graph of g(x) = x
1) f(x) is translated 3 to the left of g(x) and then
reflected over the x-axis.
x
2. Suppose g(x) = 2(3 ) + 5.
x
a) Describe how g(x) differs from f(x) = 2(3 ).
b) What is the y-intercept of each graph?
2a) g(x) is translated up 5 from f(x).
b) The y-intercept of g(x) is (0, 7). The y-intercept
of f(x) is (0, 2).
3. Given: f(x) has zeroes at (-2,0) and (3,0).
a) Where are the zeroes of g(x) = f(x -1)?
b) Where are the zeroes of h(x) = f(x) - 2?
3a) The zeroes of g(x) will be (-1, 0) and (4, 0) since g(x)
is shifted one to the right of f(x).
b) We won't be able to determine the zeroes of h(x)
when there is a vertical translation.
4. Given: f(x) has a y-intercept at (0,3).
a) Where is the y-intercept of g(x) = f(x-1)?
b) Where is the y-intercept of h(x) = f(x) - 2?
4a) The y-intercept of g(x) can't be determined when
the graph of f(x) is translated horizontally.
b) The y-intercept of h(x) will be (0, 1) since the graph
of f(x) is being translated down 2.
5. Given: f(x) = x2 and g(x) = - f(x - 2) + 3.
a) Write the function rule for g(x).
b) Describe how the graph of f(x) is transformed
into the graph of g(x).
5a) g(x) = -(x - 2) 2 + 3.
b) f(x) is translated right 2, reflected over the
x-axis, then translated up 3.
Sept.17th2012Math4Unit1Day10
p. 39-40 #11
book solutions for #11
September 17, 2012
Sept.17th2012Math4Unit1Day10
September 17, 2012
these are the yvalues from
each graph
Sept.17th2012Math4Unit1Day10
p. 55-57: 5, 6*
(*use the back of the xerox(stretch/compress) sheet ;
graph g(x) on the top graph and h(x) on the bottom graph)
p. 44 #13
p. 65: 1 - 3
September 17, 2012
Sept.17th2012Math4Unit1Day10
September 17, 2012
To get a rule for g(x),
replace the x in f(x)
with (x+5) and
simplify
Sept.17th2012Math4Unit1Day10
p. 44 #11d
September 17, 2012