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

2869 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the median, mean, and mode of the following set of data: 55, 43, 62, 91, 2, 43, 34, 16, 16.


How do I solve equations with unknowns in the denominators?


Solve x^2=4(x-3)^2


How would you work out the price of a trip if it is usually £24 but a man has a railcard that gives him 30% off?


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