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Answer:
The graph would become steeper.
This is because the rise is greater. 2x describes rising by 2 units and running (right) by 1. If the slope is increased, then so is the "steepness". The slope would then be rising 4 unit and running (right) 1.
The correct statement is (c) the graph would become steeper.
The equation is given as:
[tex]y = 2x + 3[/tex]
The new equation is represented as:
[tex]y = 4x + 3[/tex]
Transforming the equations
Start by rewriting the new equation
[tex]y = 4x + 3[/tex]
Express 4 as 2 * 2
[tex]y = 2 \times 2x +3[/tex]
Equation interpretation
The above equation means that [tex]y = 2x + 3[/tex] is stretched by a scale factor of 2
The scale factor (2) means that, the new graph would become steeper.
Hence, the correct statement is (c)
Read more about transformation at:
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