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) 2 + k, where a is the coefficient of the second degree term (y = ax 2 + bx + c) and (h, k) is the 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
Example
Move or pinch a graph of quadratic equation y = x 2 to verify the relation between the coefficients of the equation and the graph.
1. Shift the graph y = x 2 upward by 2.
2. Shift the graph y = x 2 to the right by 3.
3. Pinch the slope of the graph y = x 2.
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 | Display | Notes |
(When using | (When using |
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*Use either pen touch or cursor to operate. |
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2nd F SHIFT/CHANGE A *
1*
ENTER *
ENTER ALPHA
Notice that upward movement of the basic y = x 2 graph by 2 units in the direction of the y- axis means addition of 2 to the
that upward movement of the graph by k units means adding a k (>0) in the standard form y = a (x - h) 2 + k.