Quadratic Equations; Slope And Intercept Of Quadratic Equations - Sharp EL-9650 Handbook

Slope and Intercept 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
vertex 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 graph can be adjusted by varying the
coefficients a, h, and k.
Example
Graph various quadratic equations and check the relation between the graphs and
the values of coefficients of the equations.
1.
Graph y = x 2 and y = (x - 2)
2.
Graph y = x 2 and y = x
3.
2
Graph y = x
4.
2
Graph y = x and y = - 2x
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
*Use either pen touch or cursor to operate.
1
1
Enter the equation y = x
-
n
2
Y= X/ /T/ x
1
2
Enter the equation y = (x - 2)
-
Y2 using Sub feature.
EZ 1
ENTER
C
ALPHA ENTER
*
2nd F 1
SUB ENTER
( )
0
ENTER
1
3
View both graphs.
-
GRAPH
2
.
2 + 2.
2
and y = 2x .
2
.
2
for Y1.
2
for
*
1 ENTER
*
2
ENTER
This shows that placing an h (>0) within the standard
form y = a (x - h)
h units and placing an h (<0) will move it left h units
on the x-axis.
EL-9650/9600c Graphing Calculator
2 + bx + c) and (h, k) is the
Display
Notice that the addition of -2
within the quadratic operation
moves the basic y = x
right two units (adding 2 moves
it left two units) on the x-axis.
2
+ k will move the basic graph right
2
+ k,
Notes
graph
2
2-1