The exponential function y = B^(x + 3) is shifted to the left or right? By how many units?

The function is shifted to the left by 3 units.

Describe how the graph of y = 5^(x) would change if it were transformed to y = 5^(x - 2).

The graph would shift 2 units to the right.

The horizontal asymptote does not change.

Grade 11th Grade · Math · 45 min

I can describe how changing the value of h in an exponential function affects its horizontal translation.

Mario's Math Tutoring · 12:03

Graphing Exponential Functions with Transformations

3 key concepts

1
The parent function of an exponential function is y = B^x, where B is the base.
2
If the base is greater than 1, it is an exponential growth, and if the base is between 0 and 1, it is an exponential decay.
3
In the equation y = a * B^(x-h) + k, the 'h' value shifts the graph left or right, and the 'k' value shifts the graph up or down.

6 questions · Multiple choice & Short answer

Quick comprehension check

“The exponential function y = 5ˣ is transformed to y = 5⁽ˣ⁻ʰ⁾. Describe the effect on the graph if h = 3.”

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