 |
|---|
SELECT PAGE NO.
No Books/Pages Are Available |
SELECT PROBLEM NO. FOR THE PAGE |
| PAGE: 42 | SET: Exercises | PROBLEM: 1 |
(a)
Find the equation of 
shift 3 units upwards.
Vertical shift : 
, shift the graph of 
a distance 
units upward.
Here 
.
The equation of the graph of 
shift 3 units upwards is 
.
(b)
Find the equation of shift 3 units downward.
Vertical shift : 
, shift the graph of 
a distance 
units downward.
Here 
.
The equation of the graph of shift 3 units downwards is 
.
(c)
Find the equation of shift 3 units to the right.
Horizontal shift : 
, shift the graph of a distance units to the right.
Here .
The equation of the graph of shift 3 units to the right is 
.
(d)
Find the equation of shift 3 units to the left.
Horizontal shift : 
, shift the graph of a distance units to the left.
Here .
The equation of the graph of shift 3 units to the left is 
.
(e)
Find the equation of reflect about the 
axis.
Reflection : 
, reflect the graph of about the axis.
The equation of the graph of reflect about the axis is 
.
(f)
Find the equation of reflect about the 
axis.
Reflection : 
, reflect the graph of about the axis.
The equation of the graph of reflect about the axis is 
.
(g)
Find the equation of stretch vertically by a factor of 3.
Vertical stretch : 
, stretch the graph of vertically by a factor of .
Here .
The equation of the graph of stretch vertically by a factor of 3 is 
.
(h)
Find the equation of shrink vertically by a factor of 3.
Vertical shrink :
, shrink the graph of vertically by a factor of .
Here .
The equation of the graph of shrink vertically by a factor of 3 is 
.
(a) 
.
(b) 
.
(c) 
.
(d) 
.
(e) .
(f) .
(g) 
.
(h)
.
|
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
|
"Your site is amazing! It helped me get through Algebra." Charles |
|
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |
Simply chose a support option
  
|