4 (a) Complete the table of values for $y = 5 - x^2$
| x | -2 | -1 | 0 | 1 | 2 |
|----|----|----|---|---|---|
| y | 6 | 4 | 5 | 4 | 1 |
(b) On the grid below, draw the graph of $y = 5 - x^2$ for values of $x$ from -2 to 2. - Edexcel - GCSE Maths - Question 5 - 2020 - Paper 2
Question 5
4 (a) Complete the table of values for $y = 5 - x^2$
| x | -2 | -1 | 0 | 1 | 2 |
|----|----|----|---|---|---|
| y | 6 | 4 | 5 | 4 | 1 |
(b) On the grid below, ... show full transcript
Worked Solution & Example Answer:4 (a) Complete the table of values for $y = 5 - x^2$
| x | -2 | -1 | 0 | 1 | 2 |
|----|----|----|---|---|---|
| y | 6 | 4 | 5 | 4 | 1 |
(b) On the grid below, draw the graph of $y = 5 - x^2$ for values of $x$ from -2 to 2. - Edexcel - GCSE Maths - Question 5 - 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 each value of x into the equation to find the corresponding value of y:
For x=−2: y=5−(−2)2=5−4=1
So, y=1
For x=−1: y=5−(−1)2=5−1=4
So, y=4
For x=0: y=5−(0)2=5−0=5
So, y=5
For x=1: y=5−(1)2=5−1=4
So, y=4
For x=2: y=5−(2)2=5−4=1
So, y=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, plot the points from the completed table on the grid. The points to plot are:
(−2,1)
(−1,4)
(0,5)
(1,4)
(2,1)
Once the points are plotted, draw a smooth curve connecting these points to represent the quadratic function y=5−x2. The graph should open downwards as the coefficient of x2 is negative.
