Formulas
f(x)=a(b)x
what is the standard form of an exponential function?
the domain for every single exponential function
what is negative infinity to positive infinity?
the formula for reflections over the x-axis
what is -f(x)=-(b)x ?
the parent function
what is f(x)=2x?
the range of the function f(x)=2(x-2)+4
what is (4, infinity)?
the formula for reflections over the y-axis
what is f(-x)=b-x ?
the b value of an exponential function
what is the common ratio?
the imaginary dashed line that is close to the curve but never touches it
what is an asymptote?
take the equation f(x)= 2x and translate it 7 units to the left, and 3 units up
what is f(x)= 2(x+7)+3 ?
the formula for translations of an exponential function
what is f(x)=bx-h+k ?
write a formula that would move 5x 2 units to the left and 10 units down
what is 5(x+2)-10 ?
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 ?
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?
write a formula that would move 4x five spaces to the left and nine spaces up
what is 4(x+5)+9 ?
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 ?