Question

finding the range of a quadractic function f(x)=-7(x-3)^2-6

Answer 1

what does the negative tell us about the shape of the graph?

this is in vertex form, what does the vertex tell us about the range of a quadratic?

Answer 2

negative would mean facing down

Answer 3

right, and what is the vertex?

Answer 4

the -6????

Answer 5

oppps -b/2(a)

Answer 6

right, that is the "top of the hill" so the greatest it gets is -6

Answer 7

so the range is \(y\le -6\)

Answer 8

do you understand?

Answer 9

if we knew it was facing up, then it would be \(y\ge -6\)