Use the image to answer the question.

Question

A curve and two labeled points on the curve are plotted in quadrant 1 of a coordinate plane.

Given the graph of the exponential equation, write the correct exponential equation for the graph.

(1 point)
Responses

y=32(3)x
y equals Start Fraction 3 over 2 End Fraction left parenthesis 3 right parenthesis superscript x baseline

y=3(23)x
y equals 3 left parenthesis Start Fraction 2 over 3 End Fraction right parenthesis superscript x baseline

y=2(32)x
y equals 2 left parenthesis Start Fraction 3 over 2 End Fraction right parenthesis superscript x baseline

y=3(32)x

Answer 1

To determine the correct exponential equation for the graph described, we typically look for key characteristics such as the initial value (y-intercept) and the growth factor (base).

The general form of an exponential equation is:

\[ y = a(b)^x \]

Where:

• \( a \) is the initial value (the y-coordinate of the point where the curve intersects the y-axis, when \( x = 0 \))
• \( b \) is the base (the growth factor).

Without the image, I would suggest identifying these points:

1. Find the value of \( a \) by looking at the curve at \( x = 0 \).
2. Determine the growth factor by examining how much \( y \) increases when \( x \) increases by 1.

Once you have identified both \( a \) and \( b \), you would then be able to match it to the list of options provided.

If you can give me the coordinates or more details about those points in the curve, I could help you identify the equation more accurately. However, without that, we must choose based on the general given choices.

If you provide the information such as initial value or growth information, I can confirm which option correlates to the points on the graph correctly.