Answered

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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

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