Which of the following equations would change the y-intercept of the exponential function from (0, 1) to (0, −3)
?(1 point)
Responses
y = 4(3x)
y = 4(3x)
y = −3 (2x)
y = −3 (2x)
y = −1 (3x)
y = −1 (3x)
y = 2 (−3x)
The equation that would change the y-intercept of the exponential function from (0, 1) to (0, −3) is:
y = −1 (3x)
The equation that would change the y-intercept of the exponential function from (0, 1) to (0, -3) is y = -1 (3x).
To change the y-intercept of the exponential function from (0, 1) to (0, -3), we need to apply a vertical shift. The general equation for an exponential function is y = a(b^x) + c, where a, b, and c are constants.
In this case, we have the y-intercept (0, 1), which means that the constant c is equal to 1. To change it to (0, -3), we need to set c equal to -3.
Therefore, the correct equation would be y = a(b^x) - 3.
Out of the given choices, the equation that matches this requirement is y = 2(-3x), since it is the only equation that has a constant term of -3.