Algebra II

Use the equation of the exponential function whose graph passes through the points (0,-2) and (2,-50) to find the value of y when x = -2.

I know the formula is y=ab^x but I don't know what numbers to plug in.

Any help would be great.

Thanks.

  1. 👍
  2. 👎
  3. 👁
  1. first sub in (0,-2) to get
    -2 = ab^0, but b^0 = 1
    so a=-2
    so far we have

    y = -2b^x

    now use the other point (2,-50)
    -50 = -2(b^2)
    b^2 = 25
    b= ±5
    however in exponentional equations the base is usually positve, so now you have

    y = -2(5^x)

    sub in x=-2 and you got it.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Exponential Growth and Decay

    Can somebody please check my answers? 1. Identify the initial amount a and the growth factor b in the exponential function. g(x)=14*2^x a)a=14, b=x b)a=14, b=2

  2. mathematics

    The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years. A coordinate graph is shown. The horizontal axis extends from 0 to 12 years. The vertical axis extends from 0 to 9500

  3. college calc

    Give a formula for the function illustrated using a vertical shift of an exponential function. The two points marked on the graph are A=(−1,17) and B=(1,2). The red horizontal line is given by y=1, and is a horizontal asymptote

  4. math

    i have more than one question so if u no any of the answers please tell me 1.) write the point-slope form of the equation of the line with slope -2 passing through the point ( -5, -9). 2.) write the point-slope form of an equation

  1. math

    Find the exponential function f(x)=Ca^x whose graph goes through the points (0,3) and (2,12).

  2. Math(check)

    1)Find the range of the relation [(-1,4)},(2,5),(3,5)}.Then determine whether the relation is a funtion. 4,5,5 is the range 4,5 is a function 2)Find f(-1),if f(x)= x^2-6x/x+2 (-1)^2-6(-1)/-1+2 1+6/-1+2 7/1 =7 3)Find f(a),if f(t)=

  3. Alg 2 HELP!!

    1.) Find an exponential function of the form y=ab^x whose graph passes through the points (2,48) and (5,3072) 2.) The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when

  4. Math help and check

    Which kind of function best models the set of data points (–1, 22), (0, 6), (1, –10), (2, –26), and (3, –42)? linear **** quadratic exponential none of the above 2. Which kind of function best models the set of data points

  1. algebra

    Write an equation of an exponential function that passes through the points (2, 18) and (5, 486)

  2. WHOEVER HELPS ME WILL BE NAMED THE BOB

    Question 10 of 19 Which graph represents the linear function y = 1/4x – 3? A. A line on a graph passes through the (-4, -4), (0, -3), and (4, -2). B. A line on a graph passes through the (-4, -2), (0, -3), (4, -4). C. A line on

  3. Mathematics, Pre-Calculus

    Help needed! Find the base of the exponential function whose graph contains the given points. 1. (2,16) 2. (1,10) 3. (3,64) 4. (3,1/343) 5. (4,1/625) 6. (3/2,27)

  4. calculus please help asap

    true or false questions: a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. b) A sinusoidal function can be differentiated only if the independent

You can view more similar questions or ask a new question.