Algebra-1

To determine which equation matches the graphs:

The function is an exponential function that decreases and approaches 0.

It intersects the y-axis at (0, 1).

 

Let's evaluate each option:

A.:

This function represents exponential growth with a base of 5.2. As x increases, grows rapidly towards infinity.

It intersects the y-axis at (0, 1) because . This does not match the description of decreasing towards 0.

 

B.:

This function represents exponential decay with a base of 0.52. As x increases, decreases towards 0.

It intersects the y-axis at (0, 1) because . This matches both the requirement of decreasing towards 0 and intersecting the y-axis at (0, 1).

 

C.

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