Give an example of a quadratic function that matches each description.

Question

anonymous · Answer

13. Its graph opens downward.
15. Its graph opens upward.

anonymous · Answer

The most common form of a quadratic question is: $$y = ax^2 + bx + c$$ This form opens up if $a$ is positive, it opens down if $a$ is negative. If you want a quadratic function that opens left or right that is a different form all together. Graph: $$y = x^2 + 2x + 1$$ Graph: $$y = -x^2 + 2x + 1$$ https://www.desmos.com/calculator/kgdbib558o

anonymous · Answer

did you mean for one of those to be negative?
They're the same equation

anonymous · Answer

They are supposed to be the same equation except for the negative.
Remember:
$$y = ax^2 + bx + c \implies y = x^2 + 2x + 1$$ Where $a$ is positive so the graph opens up when $a$ is negative the graph opens down.

anonymous · Answer

ok

anonymous · Answer

If you are confused about anything don't be afraid to ask :-).

anonymous · Answer

Thank you.