Respuesta :

Answer:

[tex]y=2^x-5[/tex]

Step-by-step explanation:

The y-intercept occurs when x = 0.

Therefore, substitute x = 0 into each equation to find its y-intercept.

[tex]\begin{aligned}\implies y&=(-4)^0\\&=1\end{aligned}[/tex]

[tex]\begin{aligned}\implies y&=2^0-5\\&=1-5\\&=-4\end{aligned}[/tex]

[tex]\begin{aligned}\implies y&=3^0+4\\&=1+4\\&=5\end{aligned}[/tex]

[tex]\begin{aligned}\implies y&=(0)^{-4}\\&=0\end{aligned}[/tex]

Therefore, the exponential function that has a y-intercept of (0, -4) is:

[tex]\large\boxed{y=2^x-5}[/tex]

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