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Interactive Exponential & Logarithmic Hub – Canvas

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Exponential Graph: \( y = a b^x \)

Adjust the parameters to explore exponential growth and decay.

Table of values (x = −3,…,3)

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Logarithmic Graph: \( y = \log_b(x) \)

Explore how the base affects the logarithmic curve and its asymptote at \(x = 0\).

Table of values (x = 0.2, 0.5, 1, 2, 5, 10, 20)

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Inverse Pair: \( y = b^x \) and \( y = \log_b(x) \)

See how exponential and logarithmic graphs reflect in the line \( y = x \).

Table 1: \( y = b^x \) (x = −3,…,3)

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Table 2: \( y = \log_b(x) \) (x = 0.2,…,20)

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Exponential Transformations: \( y = a b^{(x-h)} + k \)

Explore shifts, stretches, reflections, and vertical translations of exponential graphs.

Table of values (x = −3,…,3)

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Log Transformations: \( y = a\log_b(x-h) + k \)

Explore shifts, stretches, reflections, and the moving vertical asymptote at \(x = h\).

Table of values (x = h+0.2,…,h+20)

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