Shifting A Graph Of Quadratic Equations - Sharp EL-9650 Handbook

Shifting a Graph of Quadratic Equations

A quadratic equation of y in terms of x can be expressed by the standard form y = a (x - h)
where a is the coefficient of the second degree term (y = ax
of the parabola formed by the quadratic equation. An equation where the largest exponent
on the independent variable x is 2 is considered a quadratic equation. In graphing quadratic
equations on the calculator, let the x-variable be represented by the horizontal axis and let y
be represented by the vertical axis. The relation of an equation and its graph can be seen by
moving the graph and checking the coefficients of the equation.
Example
Move or pinch a graph of quadratic equation y = x
the coefficients of the equation and the graph.
1.
Shift the graph y = x
2.
Shift the graph y = x
3.
Pinch the slope of the graph y = x
Before
There may be differences in the results of calculations and graph plotting depending on the setting.
Starting
Return all settings to the default value and delete all data.
Step & Key Operation
(When using EL-9650/9600c)
*Use either pen touch or cursor to operate.
1
1
Access Shift feature and select the
-
equation y = x 2 .
A
2nd F SHIFT/CHANGE
1
*
1
2
- Move the graph y = x
ENTER
1
3
Save the new graph and observe the
-
changes in the graph and the
equation.
ENTER
ALPHA
EL-9650/9600c/9450/9400 Graphing Calculator
2
upward by 2.
2
to the right by 3.
2
.
(When using EL-9650/9600c)
*
2 upward by 2.
*
that upward movement of the graph by k units means
adding a k (>0) in the standard form y = a (x - h)
2 + bx + c) and (h, k) is the vertex
2
to verify the relation between
Display
Notice that upward movement
of the basic y =
units in the direction of the y-
axis means addition of 2 to the
y-intercept. This demonstrates
2
+ k,
Notes
x 2
graph by 2
2
+ k.
2-2