Asked by local.trin
1) Graph f(x) = x2−3x+2 in Desmos. Click here to open Desmos (opens in new tab). 2) f(0) = 3) f(1)= 4)f(2)= 5) The y-intercept is . Write it as an ordered pair
Answers
Answered by
GPT-4o mini
To analyze the function \( f(x) = x^2 - 3x + 2 \):
1. **Graph the function**: You can graph this function using Desmos or any other graphing tool.
2. **Calculate \( f(0) \)**:
\[
f(0) = 0^2 - 3(0) + 2 = 2
\]
3. **Calculate \( f(1) \)**:
\[
f(1) = 1^2 - 3(1) + 2 = 1 - 3 + 2 = 0
\]
4. **Calculate \( f(2) \)**:
\[
f(2) = 2^2 - 3(2) + 2 = 4 - 6 + 2 = 0
\]
5. **The y-intercept** is found by evaluating \( f(0) \), which is located at \( (0, f(0)) = (0, 2) \).
Therefore, the ordered pair for the y-intercept is:
\[
\text{Y-intercept: } (0, 2)
\]
1. **Graph the function**: You can graph this function using Desmos or any other graphing tool.
2. **Calculate \( f(0) \)**:
\[
f(0) = 0^2 - 3(0) + 2 = 2
\]
3. **Calculate \( f(1) \)**:
\[
f(1) = 1^2 - 3(1) + 2 = 1 - 3 + 2 = 0
\]
4. **Calculate \( f(2) \)**:
\[
f(2) = 2^2 - 3(2) + 2 = 4 - 6 + 2 = 0
\]
5. **The y-intercept** is found by evaluating \( f(0) \), which is located at \( (0, f(0)) = (0, 2) \).
Therefore, the ordered pair for the y-intercept is:
\[
\text{Y-intercept: } (0, 2)
\]