Question

A) Complete the table of values for y = x2 - 4x

Х
-1
0
1
2
3
4
5
y
0
-3
5
А ви с
b) Which of the three curves drawn
matches the graph of y = x2 - 4x ?
-6
-4
-3-2
o

Answer 1

4

Explanation:

Answer 2

a) A complete table of values for
`y = x^2 - 4x` is shown below.

b) A curve that matches the graph of
`y = x^2 - 4x` is graph B.

In order to use this quadratic function
`y = x^2 - 4x` to determine the missing values in the table, we would have to substitute each of the values of x (x-values) into the quadratic function and then evaluate as follows;

When the value of x is -1, the quadratic function is given by;

`y = (-1)^2 - 4(-1)\\\\y=1+4`

y = 5

When the value of x is 1, the quadratic function is given by;

`y = (1)^2 - 4(1)\\\\y=1-4`

y = -3

When the value of x is 2, the quadratic function is given by;

`y = (2)^2 - 4(2)\\\\y=4-8`

y = -4

When the value of x is 4, the quadratic function is given by;

`y = (4)^2 - 4(4)\\\\y=16-16`

y = 0

When the value of x is 5, the quadratic function is given by;

`y = (5)^2 - 4(5)\\\\y=25-20`

y = 5

Therefore, the table should be completed as follows;

x -1 0 1 2 3 4 5

y 5 0 -4 -3 -3 0 5

Part b.

Since the graph of this quadratic function
`y = x^2 - 4x` must pass through the origin (0, 0), it is correctly represented by graph B only.

Complete Question:

a) Complete the table of values for
`y = x^2 - 4x`.

b) Which of the three curves drawn matches the graph of
`y = x^2 - 4x`.