4. (a) Complete the table of values for $y = 5 - x^2$ - Edexcel - GCSE Maths - Question 7 - 2020 - Paper 2
Question 7
4. (a) Complete the table of values for $y = 5 - x^2$.
| x | -2 | -1 | 0 | 1 | 2 |
|----|----|----|---|---|---|
| y | | | | | |
(b) On the grid below... show full transcript
Worked Solution & Example Answer:4. (a) Complete the table of values for $y = 5 - x^2$ - Edexcel - GCSE Maths - Question 7 - 2020 - Paper 2
Step 1
Complete the table of values for $y = 5 - x^2$
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Answer
To complete the table, we will substitute the given values of x into the equation y=5−x2:
For x=−2:
y=5−(−2)2=5−4=1
For x=−1:
y=5−(−1)2=5−1=4
For x=0:
y=5−(0)2=5−0=5
For x=1:
y=5−(1)2=5−1=4
For x=2:
y=5−(2)2=5−4=1
Thus, the completed table is:
x
-2
-1
0
1
2
y
1
4
5
4
1
Step 2
On the grid below, draw the graph of $y = 5 - x^2$ for values of $x$ from -2 to 2
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Answer
To draw the graph of y=5−x2, we will plot the points we calculated from the table:
For x=−2, y=1 (Point: (-2, 1))
For x=−1, y=4 (Point: (-1, 4))
For x=0, y=5 (Point: (0, 5))
For x=1, y=4 (Point: (1, 4))
For x=2, y=1 (Point: (2, 1))
After plotting these points on the grid and connecting them, we will see a downward-facing parabola that opens downwards, reaching its maximum at (0, 5).
