Complete this table for $y = x^2 - 5$ - OCR - GCSE Maths - Question 15 - 2017 - Paper 1
Question 15
Complete this table for $y = x^2 - 5$.
| $x$ | -2 | -1 | 0 | 1 | 2 | 3 | 4 |
|-----|----|----|---|---|---|---|---|
| $y$ | -4 | -5 | -5| -4| -5| -8| 11 |
On the gr... show full transcript
Worked Solution & Example Answer:Complete this table for $y = x^2 - 5$ - OCR - GCSE Maths - Question 15 - 2017 - Paper 1
Step 1
Complete this table for $y = x^2 - 5$
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Answer
To complete the table, we calculate the values of y for each of the provided x values:
For x=−2: y=(−2)2−5=4−5=−1
For x=−1: y=(−1)2−5=1−5=−4
For x=0: y=02−5=0−5=−5
For x=1: y=(1)2−5=1−5=−4
For x=2: y=(2)2−5=4−5=−1
For x=3: y=(3)2−5=9−5=4
For x=4: y=(4)2−5=16−5=11
Thus, the completed table is:
x
-2
-1
0
1
2
3
4
y
-1
-4
-5
-4
-1
4
11
Step 2
On the grid below, draw the graph of $y = x^2 - 5$ for the values of $x$ from -2 to 4
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Answer
To graph the function y=x2−5 on the provided grid, plot the points derived from the completed table:
Points to plot:
(−2,−1)
(−1,−4)
(0,−5)
(1,−4)
(2,−1)
(3,4)
(4,11)
After plotting these points, connect them with a smooth curve to represent the graph of the function. Ensure that the curve opens upward, reflecting the parabola shape of the quadratic function.
