Question

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

Answer 1

To analyze the function \( f(x) = x^2 - 3x + 2 \), let's evaluate it at specific points and find the y-intercept.

1. **Finding \( f(0) \)**:
\[
f(0) = 0^2 - 3(0) + 2 = 2
\]

2. **Finding \( f(1) \)**:
\[
f(1) = 1^2 - 3(1) + 2 = 1 - 3 + 2 = 0
\]

3. **Finding \( f(2) \)**:
\[
f(2) = 2^2 - 3(2) + 2 = 4 - 6 + 2 = 0
\]

4. **Finding the y-intercept**:
The y-intercept occurs when \( x = 0 \), which we already calculated. Thus, the y-intercept is:
\[
(0, f(0)) = (0, 2)
\]

**Summary of Results**:
- \( f(0) = 2 \)
- \( f(1) = 0 \)
- \( f(2) = 0 \)
- The y-intercept is \( (0, 2) \).