Question

What is the range of the graph of y = (x – 4)2 + 3?
A) y less than or equal to 4
B) y greater than or equal to 4
C) y greater than or equal to 3
D) y less than or equal to 3

Answer 1

have you done parabolas yet?

Answer 2

Yea i have @jdoe0001

Answer 3

... can you see where the vertex is?

Answer 4

the given equation is a parabola in "vertex form" already

Answer 5

i dont understand
@jdoe0001

Answer 6

http://www.mathwarehouse.com/geometry/parabola/images/standard-vertex-forms.png

Answer 7

so it would be 4 and 3

Answer 8

@jdoe0001

Answer 9

yeap, the vertex will be at (4, 3) the binomial has a positive coefficient so the parabola will look like

Answer 10

so notice the "range"..."y" goes down to 3 and then goes right back up, it never makes it below 3.... so that's the range :)

Answer 11

the range would be y greater than or equal to 3
@jdoe0001

Answer 12

yeap, goes to \(\bf -\infty\) comes down to 3 and goes right back up to \(+\infty\)

Answer 13

Thank you so Much

Answer 14

yw