Question

What is the range of the quadratic equation y = –3(x – 10)2 + 5?
Please explain how to find it to please.

Answer 1

y < = 5

you know the vertex is (-10, 5)

And the graph concaves downward since a = -3

Answer 2

Thank you! But would the sign go => or <= ?

Answer 3

<=
because the graph concaves downward since a = -3

Answer 4

Thank you!

Answer 5

The "range" means "all output" or "all values of y" this function takes on.

The largest value of y this function can achieve is y = 5 (because when x = 10, y = 5).

So the range will be all values less than or equal to y = 5. (the parabola opens downward because of the -3 in front of the (x-10)^2 term).

Hope this helps. Also, are you allowed to graph these?