Question

Directions:

Answer the questions below.
You will be able to check your answers by clicking on "Check Answers" at the bottom.
You can make corrections before submitting this Sample Work.
(1 point)
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 solve the questions related to the function \( f(x) = x^2 - 3x + 2 \), let's calculate the required values.

1) **Graph f(x) = x² - 3x + 2**:
You can graph this function using Desmos or any graphing calculator. The graph of this quadratic function is a parabola that opens upwards.

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

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

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

5) **The y-intercept**:
The y-intercept occurs when \( x = 0 \), which we have already calculated. The coordinates of the y-intercept are \( (0, f(0)) = (0, 2) \). So, the y-intercept is \( (0, 2) \).

Here are the answers in order:

2) \( f(0) = 2 \)
3) \( f(1) = 0 \)
4) \( f(2) = 0 \)
5) The y-intercept is \( (0, 2) \)