Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

How would the graph of the function y=x^2-8 be affected if the function were changed to y=x^2-3

Sagot :

The standard method for a graph is :

0. f(x) + n - shift the graph n units up

,

1. f(x) - n - shift the graph n units down

,

2. f(x - n) - shift the graph n units to the right

,

3. f(x + n) - shift the graph n units to the left

Since from the given equation we have graph y = x^2-8

to make it y= x^2 -3

add 5 on the both side of equation y = x^2-8

y = x^2-8

y + 5 = x^2 - 8 + 5

y + 5 = x^2 - 3

From the above condition (1),

The graph y + 5 = x^2 - 3 will moves 5 units up

Answer : The graph y = x^2 - 3 will moves 5 units up