Exponential Functions!

Formulas

100

f(x)=a(b)^x

what is the standard form of an exponential function?

200

the parent function 

what is f(x)=2^x?

300

the b value of an exponential function

what is the common ratio?

400

the formula for translations of an exponential function

what is f(x)=b^x-h+k ?

500

The value that moves the graph left and right, and the value that moves the graph up and down.

what is the h value? what is the k value?

Graphs

100

the domain for every single exponential function

what is negative infinity to positive infinity?

200

the range of the function f(x)=2^(x-2)+4

what is (4, infinity)?

300

the imaginary dashed line that is close to the curve but never touches it 

what is an asymptote?

400

write a formula that would move 5^x 2 units to the left and 10 units down

what is 5^(x+2)-10 ?

500

write a formula that would move 4^x five spaces to the left and nine spaces up

what is 4^(x+5)+9 ?

Translations

100

the formula for reflections over the x-axis

what is -f(x)=-(b)^x ?

200

the formula for reflections over the y-axis

what is f(-x)=b^-x ?

300

take the equation f(x)= 2^x and translate it 7 units to the left, and 3 units up

what is f(x)= 2^(x+7)+3 ?

400

take the equation g(x)=(9/2)^x and translate it 9 units to the right, 2 units down, and reflect it over the x-axis

what is -g(x-9)-2 = -(9/2)^x-9-2 ?

500

take the equation g(x)=(9/2)^x and translate it 3 units to the left, 5 units up, and reflect it over the x-axis

what is -g(x+3)+5 = -(9/2)^x+3+5 ?