granthazenp5e9mj
13.01.2021 •
Mathematics
2
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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Ответ:
The correct statement is (c) the graph would become steeper.
The equation is given as:
The new equation is represented as:
Transforming the equationsStart by rewriting the new equation
Express 4 as 2 * 2
Equation interpretationThe above equation means that
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:
link
Ответ:
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.
Ответ: