Photo AI

The graph of $y = 5^x$ is transformed by a stretch in the $y$-direction, scale factor 5 - AQA - A-Level Maths Mechanics - Question 2 - 2018 - Paper 1

Question icon

Question 2

The-graph-of-$y-=-5^x$-is-transformed-by-a-stretch-in-the-$y$-direction,-scale-factor-5-AQA-A-Level Maths Mechanics-Question 2-2018-Paper 1.png

The graph of $y = 5^x$ is transformed by a stretch in the $y$-direction, scale factor 5. State the equation of the transformed graph. Circle your answer.

Worked Solution & Example Answer:The graph of $y = 5^x$ is transformed by a stretch in the $y$-direction, scale factor 5 - AQA - A-Level Maths Mechanics - Question 2 - 2018 - Paper 1

Step 1

State the equation of the transformed graph.

96%

114 rated

Answer

To apply the stretch in the yy-direction with a scale factor of 5, we multiply the original function by 5. Thus, the transformed equation can be expressed as:

y=5imes5xy = 5 imes 5^x

This simplifies to:

y=5x+1y = 5^{x+1}

However, the correct format in this context should remain as y=5imes5xy = 5 imes 5^x.

Join the A-Level students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;