Question

Based on the family the graph below belongs to, which equation could represent the graph?

On a coordinate plane, a curve starts at (0, 2) and curves up and to the right in quadrant 1.
y = 2 Superscript x Baseline 3
y = log (2 x) + 3
y = 2 x squared + 2
y = StartFraction 1 Over 2 x EndFraction + 2

Answer 1

B

Explanation:

Edge 2023

Answer 2

Second option
`y=\text{log}(2\text{x})+3`

Solution:

Based on the family of graphs shown in the attached file, the equation could represent the graph is
`y=\text{log}(2\text{x})+3`

This graph is the graph of the function
`y=\text{log}(\text{x})` stretched horizontally by a factor of 2 and translated 3 units upward.