Question

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

Answer 1

y greater than or equal to 7
y less than or greater to 7
y greater than or equal to 2
y less than or greater to 2

answer choices!

Answer 2

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

Answer 3

I don't get it:((

Answer 4

look at the "vertex form" of the parabola
now look at what you have
$$
y = 5(x - \color{red}{2})^2 + \color{red}{7}\\
y = a(x-\color{red}{h})^2 + \color{red}{k}
$$
now what do you think is the vertex for your parabola there?

Answer 5

h?

Answer 6

well the actual values, the (h, k)

Answer 7

so its 7..but what about the signs?

Answer 8

is at (2, 7)
the parabola is going upwards, so it looks like

Answer 9

okaaaaaaay...

Answer 10

so what do you think is the range?
range meaning the "y" values takes
notice, "y" doesn't go below the "vertex"

Answer 11

is it A?:/

Answer 12

yes

Answer 13

AH ! thank you so much!

Answer 14

yw