Describe and explain the change in the shape of the graph y=x^2 and y=x^2 + 2.

The graph is translated by two in the positive y-axis direction. For example, for the equation y=x2, taking the x-axis values of 0,1,2 and 3, y= 02,12, 22 and 32respectively: These values being 0,1,4,9. This forms the parabola, or the 'smiling' shape that we see in the graph. However, when the equation of the graph becomes y=x2+2, the value of y increases by 2 each time. When x=0, y=0+2. When x=1, y=1+2. When x=2, y=4+2, and so on. In this way, it is the y value that increases by a positive unit of 2, rather than the x value.

Answered by Matthew S. Maths tutor

2562 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Why can you not divide expressions by common factors?


Find the points where the curve given by: y = x^2 - 4x -12, and the line given by y = 2x - 12


How do I factorise x^2 + 8x + 15?


Make x the subject of the following formula: x/2 + 3 = y - 2


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences