QUIZ - chapter 3.2 - 3.5
what do you need to know how to do?
3.2 - know each of the different "parent" graphs and how they shift when values are added or subtracted from x and y (in the equation).
3.3 - know how to find mean, median, mode, range, IQR, variance, standard deviation and how they are affected when values are added or subtracted from each of the data values. 4 of the measures do not change!
3.4 - know what makes a graph even / odd / neither.
even: f(x) = f(-x) which means when you plug in the opposite x-val, you get the same y-val
symmetric to the y-axis
can shift up or down and still be even
odd: f(x) = -f(-x) which means when you plug in the opposite x-val, you get the opposite y-val
symmetric to the origin
rotates 180 degrees around the origin onto itself
can NOT shift at all and still be odd
3.5 - graph stretches and contractions
if y is divided by 'b' in equation - y-val times 'b' on graph (vert stretch)
if y is multiplied by 'b' in equation - y-val divided by 'b' on graph (vert contraction)
if x is divided by 'a' in equation - x-val times 'a' on graph (horiz stretch)
if x is multiplied by 'a' in equation - x-val divided by 'a' on graph (horiz contraction)
on the quiz you are going to need to know how a single individual point moves.
ex. if the point (8, 22) lies on f(x) and f(x) is multiplied by 2, what point lies on the new
graph? answer: x does not change. y values are divided by 2. (8, 11)
as per request... 3.2 (graph shifts) packet solutions... i didn't list domain and range - i wrote the shifts instead - if you have domain and range questions - just email me.
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what do you need to know how to do?
3.2 - know each of the different "parent" graphs and how they shift when values are added or subtracted from x and y (in the equation).
3.3 - know how to find mean, median, mode, range, IQR, variance, standard deviation and how they are affected when values are added or subtracted from each of the data values. 4 of the measures do not change!
3.4 - know what makes a graph even / odd / neither.
even: f(x) = f(-x) which means when you plug in the opposite x-val, you get the same y-val
symmetric to the y-axis
can shift up or down and still be even
odd: f(x) = -f(-x) which means when you plug in the opposite x-val, you get the opposite y-val
symmetric to the origin
rotates 180 degrees around the origin onto itself
can NOT shift at all and still be odd
3.5 - graph stretches and contractions
if y is divided by 'b' in equation - y-val times 'b' on graph (vert stretch)
if y is multiplied by 'b' in equation - y-val divided by 'b' on graph (vert contraction)
if x is divided by 'a' in equation - x-val times 'a' on graph (horiz stretch)
if x is multiplied by 'a' in equation - x-val divided by 'a' on graph (horiz contraction)
on the quiz you are going to need to know how a single individual point moves.
ex. if the point (8, 22) lies on f(x) and f(x) is multiplied by 2, what point lies on the new
graph? answer: x does not change. y values are divided by 2. (8, 11)
as per request... 3.2 (graph shifts) packet solutions... i didn't list domain and range - i wrote the shifts instead - if you have domain and range questions - just email me.
page 1
page 2
page 3
page 4
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