Translate an exponential function and observe its effects on the equation of the parent function.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
A parent exponential function is [math]f\left(x\right)=b^{x-h}+k[/math]. Which variable represents the base?
Describe the graph of an exponential function when the base is between 0 and 1.
Describe the graph of an exponential function when the base is greater than 1.
Which variable represents the horizontal shift?
Which variable represents the vertical shift?
A number is subtracted from the exponent. Which direction does the function shift? Which direction does the function shift when a number is added to the exponent?
A number is added to the equation of the function. Which direction does the function shift? Which direction does the function shift when a number is subtracted from the equation?