which phrase best describes the translation from the graph y = 2x² to the graph of y = 2x² + 5? 5 units up 5…
which phrase best describes the translation from the graph y = 2x² to the graph of y = 2x² + 5? 5 units up 5 units down 5 units right 5 units left
Answer
Answer:
A. 5 units up
Explanation:
Step1: Recall vertical - shift rule
For a function $y = f(x)+k$, if $k>0$, the graph of $y = f(x)$ is shifted $k$ units up.
Step2: Identify the functions
We have $f(x)=2x^{2}$ and $y = 2x^{2}+5=f(x) + 5$. Since $k = 5>0$, the graph of $y = 2x^{2}$ is shifted 5 units up to get the graph of $y=2x^{2}+5$.