For each graph below, select its possible equation from this list - OCR - GCSE Maths - Question 15 - 2021 - Paper 1
Question 15
For each graph below, select its possible equation from this list.
A $y = x^3$
B $y = -2$
C $y = x$
D $x = 2$
E $y = x^2$
F $y = 2x + 1$
Write the letter... show full transcript
Worked Solution & Example Answer:For each graph below, select its possible equation from this list - OCR - GCSE Maths - Question 15 - 2021 - Paper 1
Step 1
Graph 1: Identify the Equation
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The first graph resembles a cubic function, which is characterized by the equation y=x3. Therefore, the letter corresponding to this graph is A.
Step 2
Graph 2: Identify the Equation
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The second graph is a horizontal line located at y=−2. Thus, its corresponding equation is B.
Step 3
Graph 3: Identify the Equation
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The third graph is a straight line that passes through the origin with a slope of 1, which is depicted by the equation y=x. Thus, the letter for this graph is C.
Step 4
Graph 4: Identify the Equation
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The last graph is a vertical line at x=2. Therefore, the correct equation for this graph is represented by the letter D.
Step 5
Graph 5: Identify the Equation
97%
117 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The fifth graph is a parabola opening upwards, which aligns with the equation y=x2. Therefore, this corresponds to the letter E.
Step 6
Graph 6: Identify the Equation
97%
121 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The final graph is a straight line with a slope of 2, intersecting the y-axis at 1. This corresponds to the equation y=2x+1, denoted by the letter F.
