Question

How will the equation y= -x2 + 3 compare to the original parent function (y=x2)?

Answer 1

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiJ4XjIiLCJjb2xvciI6IiMwMDAwMDAifSx7InR5cGUiOjAsImVxIjoiLXheMiIsImNvbG9yIjoiI0M5MjQyNCJ9LHsidHlwZSI6MCwiZXEiOiIteF4yKzMiLCJjb2xvciI6IiMxQTI5RDQifSx7InR5cGUiOjEwMDB9XQ-- <--- what do you think?

Answer 2

does it flip/shift down?

Answer 3

\(\large \begin{array}{cccllll}
y&{\color{blue}{\quad -}} x^2&{\color{purple}{ +3}}\\
&\uparrow &\uparrow \\
&{\color{blue}{ flips\ out}}&{\color{purple}{ shifts\ up}}
\end{array}\)

Answer 4

http://www.mathsisfun.com/sets/function-transformations.html