SOLUTION: Hi, I need help with solving this exponential functions it says what are the key features of y=-3(1/4)^x increasing or decreasing, Y-int?, Common Ratio, and Horizontal Asymptote. A

Question 1150223: Hi, I need help with solving this exponential functions it says what are the key features of y=-3(1/4)^x increasing or decreasing, Y-int?, Common Ratio, and Horizontal Asymptote. And what would happen if the equation was -3(1/4)^x-2
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
y = -3 * (1/4) ^ x is increasing.

the y-intercept occurs when x = 0.

that would be when y = -3 * (1/4) ^ 0 which becomes y = -3.

the common ratio is 1/4 because each time x is increased by 1, the current value is multiplied by 1/4.

the horizontal asymptote is 0 because (1/4) ^ x is equal to (1 ^ x) / (4 ^ x) which is equal to 1 / (4 ^ x).
the numerator stays the same and the denominator gets larger and larger, so the fraction approaches 0 but is never equal to 0.
-3 * 0 = 0

if the equation was -3 * (1/4) ^ x - 2, then the y-intercept would become -5 and the horizontal asymptote would become - 2.

here's what the graph looks like for both y = -3 * (1/4) ^ x and y = -3 * (1/4) ^ x - 2

y = -3 * (1/4) ^ x is in red.
y = -3 * (1/4) ^ x - 2 is in blue.

$$$

RELATED QUESTIONS
Hi all, I dont quite understand what this questions is asking: Determine whether the... (answered by Edwin McCravy)

I need help with solving this exponential equation (6/27)x+1... (answered by MathLover1)

A linear function that represents the number of video games purchased at an electronics... (answered by ikleyn)

Hi there, Could you please help me solve the following Exponential functions question? I (answered by vleith)

Hi, This is what my book says for the four problems I need help on: For each of the (answered by drk)

I need help solving the equation of 3x+2 1 -2 (answered by nerdybill,ewatrrr)

{{{ sqrt( 4-7x ) }}} = {{{ sqrt( 2x ) }}} Hi, I have been squaring both sides to get (answered by jim_thompson5910,stanbon)

I need help with this question. Determine the intervals of increasing and decreasing for (answered by Boreal)

I have just started using the TI84 plus and we are supposed to use a graphing utility to... (answered by rapaljer)