Graphing Exponential Equations

Graphing Exponential Equations

Graphing Exponential Growth/Decay

1. Create the Parent Graph.

2. Identify A,H,K.

3. Create your new T-Chart.

• Domain: All real #'s.
• Range: y>k; when a is positive. y<k; when a is negative.
• Asymptote: y=k.

4. Draw Asymptote.

5. Graph new points.

• Exponential Formula: y=a×b^x-h+k
• a = multiplier.

a>1 = stretch
0<a<1 = compression
a< 0(negative) = flipped over x-axis.

• b = base

b>1 = whole #, growth, always increasing.

0<b<1 = fraction; decay, always decreasing.

B is never negative only the multiplier is.

• h = lf/rt; opposite
• k = up/dn