Which of the graphs represents the function f(x)=3^x?
The table below gives equations of the exponential functions shown in the graphs and descriptions of transformations, but jumbled up. Use your knowledge of transformations of functions to match the graphs to their equations and to the descriptions of the transformations.
Cut up a copy of the table and rearrange the pieces into 8 matching sets.
Equations |
Graphs |
Transformations |
||
1 |
y=4.3^x |
G1 |
A |
f(x) shifted 3 units downwards |
2 |
y=3^x+2 |
G2 |
B |
f(x) was reflected in the axis |
3 |
y=-3^x |
G3 |
C |
f(x) shifted 1 unit to the right |
4 |
y=3^{x+2} |
G4 |
D |
f(x) shifted 2 units upwards |
5 |
y=3^{x-1} |
G5 |
E |
f(x) was reflected in the axis |
6 |
y=3^{-x} |
G6 |
F |
f(x) shifted 2 units to the left |
7 |
y=3^x-3 |
G7 |
G |
f(x) |
8 |
y=3^x |
G8 |
H |
f(x) intersects y-axis at (0; 4) |
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I like the way latex integrates so smoothly with WordPress to produce these nice graphs and equations.