Grade 12 Math
k - correct answer-represents a horizontal stretch or compression; reflection about y-axis
3. k < 0: reflection in y-axis
4. |k| > 1: horizontal compression by a factor of
1/|k|
0 < |k| < 1: horizontal stretch by a factor of 1/|k|
d - correct answer-represents horizontal translation
5. d > 0: horizontal translation right "d" units
d < 0: horizontal translation left "d" units
a - correct answer-represents a vertical stretch or compression; reflection about x-axis
1. a < 0: reflection in x-axis
|a| > 1: vertical stretch by a factor of |a|
2. 0 < |a| < 1: vertical compression by a factor of
|a|
c - correct answer-c represents a vertical translation
6. c > 0: vertical translation up "c" units
7. c < 0: vertical translation down "c" units
what is the simplest function of a family of functions - correct answer-parent function
y = a(x - h)^2 + k - correct answer-y = af[k(x-d)^2]+c
tips for graphing functions - correct answer-1. draw x and y axis if necessary
2. arrows at the end of function IF CONTINUOUS
3. label function
4. exponential has 1 horizontal asymptote (y=0)
5. reciprocal has 1 horizontal asymptote (y=0) ans 1 vertical asymptote (x=0)
asymptote - correct answer-a graph approaches a certain value but never reaches it.
f(x) = x^2 - correct answer-y = a[k(x-d)^2]+c
f(x) = b^x - correct answer-y = ab^[k(x-d)]+c
f(x) = sinx - correct answer-y = asin[k(x-d)]+c
f(x)= square root x - correct answer-y = a square root k(x-d) +c
f(x) = 1/x - correct answer-y = a/k(x-d) + c
k - correct answer-represents a horizontal stretch or compression; reflection about y-axis
3. k < 0: reflection in y-axis
4. |k| > 1: horizontal compression by a factor of
1/|k|
0 < |k| < 1: horizontal stretch by a factor of 1/|k|
d - correct answer-represents horizontal translation
5. d > 0: horizontal translation right "d" units
d < 0: horizontal translation left "d" units
a - correct answer-represents a vertical stretch or compression; reflection about x-axis
1. a < 0: reflection in x-axis
|a| > 1: vertical stretch by a factor of |a|
2. 0 < |a| < 1: vertical compression by a factor of
|a|
c - correct answer-c represents a vertical translation
6. c > 0: vertical translation up "c" units
7. c < 0: vertical translation down "c" units
what is the simplest function of a family of functions - correct answer-parent function
y = a(x - h)^2 + k - correct answer-y = af[k(x-d)^2]+c
tips for graphing functions - correct answer-1. draw x and y axis if necessary
2. arrows at the end of function IF CONTINUOUS
3. label function
4. exponential has 1 horizontal asymptote (y=0)
5. reciprocal has 1 horizontal asymptote (y=0) ans 1 vertical asymptote (x=0)
asymptote - correct answer-a graph approaches a certain value but never reaches it.
f(x) = x^2 - correct answer-y = a[k(x-d)^2]+c
f(x) = b^x - correct answer-y = ab^[k(x-d)]+c
f(x) = sinx - correct answer-y = asin[k(x-d)]+c
f(x)= square root x - correct answer-y = a square root k(x-d) +c
f(x) = 1/x - correct answer-y = a/k(x-d) + c
