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The graph shows the equation y = 2x + 3. Which statement best describes the effect on this graph if it were changed to y = 4x + 3?
The graph would shift 2 units up.
The graph would become less steep
The graph would become steeper.
The graph would shift 2 units down

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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:

https://brainly.com/question/4289712