Suppose the graph of f(x) = x is shifted down 5 units and to the left 3 units. What is the equation of the new graph? Verify the result graphically. The equation of the new graph is g(x) = (Simplify your answer.) Verify the result graphically. Choose the graph showing f(x) = x as a dashed blue curve and the transformed curve as a solid red curve below. O A. OB. Oc. OD.

Suppose the graph of f(x) = x is shifted down 5 units and to the left 3 units. What is the equation of the new graph? Verify the result graphically. The equation of the new graph is g(x) = (Simplify your answer.) Verify the result graphically. Choose the graph showing f(x) = x as a dashed blue curve and the transformed curve as a solid red curve below. O A. OB. Oc. OD.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....

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(a) To obtain the graph of g(x)=2x1 , we start with the graph of f(x)=2x and shift it _____________ (upward/ downward) 1 unit. (b) To obtain the graph of h(x)=2x1 , we start with the graph of f(x)=2xand shift it to the (left/right) 1unit.
Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.
a To obtain the graph of g(x)=2x1, we start with the graph of f(x)=2x and shift it ________ upward/downward 1 unit. b To obtain the graph of h(x)=2x1, we start with the graph of f(x)=2x and shift it to the ___________ left/right 1 unit.
The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.