Graphs 5
3 marks · EasyThe graph of y = x^2 + 1 is translated 2 units up.
Write down the equation of the new graph.
State the coordinates of the minimum point of the original graph y = x^2 + 1.
State the coordinates of the minimum point after the translation.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
(a) y = x^2 + 3
(b) (0, 1)
(c) (0, 3)
Show mark scheme and worked solution
Marking points
B1a (a) · 1 mark · Equation correctly written as y = x^2 + 3.
B1b (b) · 1 mark · States original minimum at (0, 1).
B1c (c) · 1 mark · States new minimum at (0, 3).
Worked solution
a) Translating up by 2 adds 2 to the equation: y = x^2 + 1 + 2 = x^2 + 3.
b) The minimum of y = x^2 + 1 is at x = 0 (vertex). So (0, 1).
c) After translating up by 2: (0, 1 + 2) = (0, 3).