Question

Which values of a and b in the exponential function y = a times b Superscript x would result in the following graph? On a coordinate plane, a curve approaches the x-axis in quadrant 3 and then decreases down through (0, negative 3) to quadrant 4. a. a = -3, b = 2 c. a = 3, b = 2 b. a = -1, b = 3 d. a = 2, b = -3 Please select the best answer from the choices provided A B C D

Answer 1

Answer: a=-3 b=2

Step-by-step explanation:

Answer 2

Answer:

$a =-3$    $b =2$

Step-by-step explanation:

Given

$y = ab^x$

$(x_1,y_1) = (0,-3)$

Required

Find a and b

Substitute $(x_1,y_1) = (0,-3)$ for x and y in $y = ab^x$

$-3 = ab^0$

$-3 = a * 1$

$-3 = a$

Rewrite as:

$a =-3$

The above implies that (a) is correct;

Hence:

$a =-3$    $b =2$

So, the equation is:

$y = -3(2)^x$