Question

100 points
(algebra one)
describe and correct the error in comparing the graphs

Answer 1

The error made is that the graph of
`y=x^(2) +3` is a vertical translation up by 3, instead of down.

Explanation:

Exponential functions, when they are graphed, use the function
`f(x)=a(x-h)^(2) +k`.

In the equation, k expresses how much the graph shifts vertically. In this case, the function shifts vertically up by 3 from the parent function,
`y=x^(2)`. So, the translation is actually 3 units up compared to the graph of
`y=x^(2)`.

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