20 fill in the blank 1 point fill in the table for the graph of y = -4e^x - 1 + 3. round values to the…

Explanation:

Step1: Substitute x = - 3

Substitute x=-3 into $y = - 4e^{x - 1}+3$. First, calculate the exponent: $x - 1=-3 - 1=-4$. Then, $y=-4e^{-4}+3$. Since $e^{-4}=\frac{1}{e^{4}}\approx\frac{1}{54.598}\approx0.0183$, so $y=-4\times0.0183 + 3=-0.0732+3 = 2.9268\approx2.9$.

Step2: Substitute x = 1

Substitute x = 1 into $y=-4e^{x - 1}+3$. Calculate the exponent: $x - 1=1 - 1 = 0$. Since $e^{0}=1$, then $y=-4\times1+3=-4 + 3=-1$.

Step3: Substitute x = 5

Substitute x = 5 into $y=-4e^{x - 1}+3$. Calculate the exponent: $x - 1=5 - 1 = 4$. Since $e^{4}\approx54.598$, then $y=-4\times54.598+3=-218.392+3=-215.392\approx - 215.4$.

Answer:

When x=-3, y≈2.9; when x = 1, y=-1; when x = 5, y≈-215.4