Question

What is the range of the graph of y = 5(x - 2)2 + 7?

Answer 1

\[y = 5(x-2)^2 + 7\]

Answer 2

any guesses for this one?

Answer 3

Hint: Let x = 2

Answer 4

No guesses for this, I have NO idea how to do this

Answer 5

what @Hero said, reasoning that the first term \(5(x-2)^2\) is always greater than or equal to zero, because it is a square (any number squared is non - negative)
the smallest value is therefor when \(x=2\) which makes the first term 0 and the whole thing is 7

Answer 6

therefore the smallest it can be is 7, which is is if \(x=2\)

Answer 7

no, it is \(y\geq 7\)

Answer 8

reasoning is above

Answer 9

I'm going to write what you said down :) thank you

Answer 10

yw