Complete this table for $y = x^2 - x$. | x | -2 | -1 | 0 | 1 | 2 | 3 | |----|----|----|---|---|---|---| | y | 6 | 2 | 0 | 0 | 2 | 6 | (b) The graph of $y = x + 1$ is shown on the grid. On the same grid, use part (a) to draw the graph of $y = x^2 - x$ for values of $x$ from -2 to 3.

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Complete this table for $y = x^2 - x$ - OCR - GCSE Maths - Question 21 - 2020 - Paper 3

Question 21

Complete this table for $y = x^2 - x$. | x | -2 | -1 | 0 | 1 | 2 | 3 | |----|----|----|---|---|---|---| | y | 6 | 2 | 0 | 0 | 2 | 6 | (b) The graph of $y = x +... show full transcript

Worked Solution & Example Answer:Complete this table for $y = x^2 - x$ - OCR - GCSE Maths - Question 21 - 2020 - Paper 3

Step 1

Complete this table for $y = x^2 - x$

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Answer

To complete the table, calculate the value of $y = x^2 - x$ for each value of $x$ :

For $x = -2$ :
$y = (-2)^2 - (-2) = 4 + 2 = 6$
For $x = -1$ :
$y = (-1)^2 - (-1) = 1 + 1 = 2$
For $x = 0$ :
$y = 0^2 - 0 = 0 - 0 = 0$
For $x = 1$ :
$y = 1^2 - 1 = 1 - 1 = 0$
For $x = 2$ :
$y = 2^2 - 2 = 4 - 2 = 2$
For $x = 3$ :
$y = 3^2 - 3 = 9 - 3 = 6$

The completed table is:

x	-2	-1	0	1	2	3
y	6	2	0	0	2	6

Step 2

On the same grid, use part (a) to draw the graph of $y = x^2 - x$ for values of $x$ from -2 to 3

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Answer

To draw the graph of $y = x^2 - x$ :

Plot each point from the completed table:
- $(-2, 6)$
- $(-1, 2)$
- $(0, 0)$
- $(1, 0)$
- $(2, 2)$
- $(3, 6)$
Connect the points smoothly, as this is a continuous quadratic function. The resulting graph should show a parabola opening upwards.

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