Question

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

Answer 1

Answer:

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

Step-by-step 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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