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

1 answer

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: \[ \text{Y-intercept: } (0, 2) \]