SOLUTION: Can someone please show me how to graph the equation y=1/2x^2+1 using symmetric properties?

Question 596732: Can someone please show me how to graph the equation y=1/2x^2+1 using symmetric properties?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The function takes the same value for x as for -x.

Functions that do that are called even functions and are symmetrical with respect to the y-axis.
The y-axis is the line .
You can get five points if you just calculate the value of the function at x=0, and at a couple of positive x values. You get the symmetrical points on the side with negative x for free.
For x=0, , which gives you the point (0,1).
For x=2, , which gives you the point (2,3).
For x=4, , which gives you the point (4,9).
No calculations are required for the symmetrical points (-2,3) and (-4,9); you just change the sign of the x coordinate.
Next, plot the five points and then draw a reasonable line

Doing it with pencil and paper, show my calculations first, with few, if any, words. Then I would have the line with the points clearly marked on just one graph, and I would include a table with the x and y values next to the graph. However, you should do it in whatever style your teacher prefers.

RELATED QUESTIONS
Could someone please show me how to graph the equation and identify the y intercept? 1.... (answered by stanbon)

Can you PLEASE show me how to graph a quadratic function using its properties?... (answered by KnightOwlTutor)

Can you PLEASE show me how to graph a quadratic function using its properties?... (answered by jojo14344)

Can you please show me how to graph this quadratic function using its properties, and... (answered by jim_thompson5910)

Can someone show me how to graph the following equation , using the intercept method?... (answered by checkley71)

Could someone please show me how to graph the equation using the slope and y intercept?... (answered by ewatrrr)

Could someone please show me how to do these problems step by step so I can learn? 1.... (answered by Gogonati)

Can you please show me how to graph each quadratic equation using its properties, and... (answered by jim_thompson5910)

can someone show me how to solve by addition method... 2x=2-y... (answered by sdmmadam@yahoo.com)