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 | -1 | 4 | 11
(b) On the grid be... 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 value of y for each corresponding x value:
For x=−2:
y=(−2)2−5=4−5=−1
For x=−1:
y=(−1)2−5=1−5=−4
For x=0:
y=(0)2−5=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
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 draw the graph of y=x2−5 from x=−2 to x=4, plot the following points using the previously calculated values:
(-2, -1)
(-1, -4)
(0, -5)
(1, -4)
(2, -1)
(3, 4)
(4, 11)
Using the grid, ensure to accurately plot these points. The curve will open upwards, reflecting the nature of a parabola, and connecting these points smoothly will form the graph.
