https://file.aiquickdraw.com/mathbot/file/1726621380581zdlo0ra9.jpg

The problem in the image is asking about dilating the function \( f(x) = 2x + 3 \) parallel to the x-axis by a factor of 2. 

Dilating a function horizontally by a factor \( k \) involves replacing \( x \) in the function with \( \frac{x}{k} \). In this case, the dilation factor is 2, so we replace \( x \) with \( \frac{x}{2} \).

### Step-by-step solution:
1. Start with the function \( f(x) = 2x + 3 \).
2. Apply the dilation by substituting \( x \) with \( \frac{x}{2} \), which gives:
   \[
   f\left( \frac{x}{2} \right) = 2 \left( \frac{x}{2} \right) + 3
   \]
3. Simplify the equation:
   \[
   f\left( \frac{x}{2} \right) = x + 3
   \]

So, the result of dilating the function \( f(x) = 2x + 3 \) parallel to the x-axis by a factor of 2 is \( f(x) = x + 3 \).

Would you like further details or have any other questions?

Here are five related questions you might find helpful:
1. How does vertical dilation differ from horizontal dilation in a function?
2. What happens when you dilate a function by a factor less than 1?
3. How does shifting a function horizontally affect its graph?
4. Can you explain the effect of dilating a quadratic function on its graph?
5. How would the result differ if the dilation factor was negative?

**Tip:** Remember, horizontal dilation affects the input variable \( x \), while vertical dilation affects the output of the function directly.

Fungsi f(x) = 2x + 3 didilatasikan sejajar sumbu X dengan faktor skala 2. Hasil dilatasi fungsi f(x) adalah?

Learn how to dilate the function f(x) = 2x + 3 horizontally by a factor of 2, with a step-by-step solution. This problem involves algebraic concepts, specifically function transformations, and is suitable for students in Grades 10-12.

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